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Simplifying 4x + 10 = 7x + 13 Reorder the terms: 10 + 4x = 7x + 13 Reorder the terms: 10 + 4x = 13 + 7x Solving 10 + 4x = 13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 4x + -7x = 13 + 7x + -7x Combine like terms: 4x + -7x = -3x 10 + -3x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -3x = 13 + 0 10 + -3x = 13 Add '-10' to each side of the equation. 10 + -10 + -3x = 13 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 13 + -10 -3x = 13 + -10 Combine like terms: 13 + -10 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1

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