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Simplifying -1(3x + 2) + -1(-2x + -7) = 2 Reorder the terms: -1(2 + 3x) + -1(-2x + -7) = 2 (2 * -1 + 3x * -1) + -1(-2x + -7) = 2 (-2 + -3x) + -1(-2x + -7) = 2 Reorder the terms: -2 + -3x + -1(-7 + -2x) = 2 -2 + -3x + (-7 * -1 + -2x * -1) = 2 -2 + -3x + (7 + 2x) = 2 Reorder the terms: -2 + 7 + -3x + 2x = 2 Combine like terms: -2 + 7 = 5 5 + -3x + 2x = 2 Combine like terms: -3x + 2x = -1x 5 + -1x = 2 Solving 5 + -1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 2 + -5 -1x = 2 + -5 Combine like terms: 2 + -5 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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