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Simplifying 4x + 1 = 100 + -7x Reorder the terms: 1 + 4x = 100 + -7x Solving 1 + 4x = 100 + -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. 1 + 4x + 7x = 100 + -7x + 7x Combine like terms: 4x + 7x = 11x 1 + 11x = 100 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + 11x = 100 + 0 1 + 11x = 100 Add '-1' to each side of the equation. 1 + -1 + 11x = 100 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = 100 + -1 11x = 100 + -1 Combine like terms: 100 + -1 = 99 11x = 99 Divide each side by '11'. x = 9 Simplifying x = 9

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