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Simplifying 3x + -2(x + -4) = 7 Reorder the terms: 3x + -2(-4 + x) = 7 3x + (-4 * -2 + x * -2) = 7 3x + (8 + -2x) = 7 Reorder the terms: 8 + 3x + -2x = 7 Combine like terms: 3x + -2x = 1x 8 + 1x = 7 Solving 8 + 1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 7 + -8 1x = 7 + -8 Combine like terms: 7 + -8 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1

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