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Simplifying -1(3x + -5) = 6 + -1(2x + 7) Reorder the terms: -1(-5 + 3x) = 6 + -1(2x + 7) (-5 * -1 + 3x * -1) = 6 + -1(2x + 7) (5 + -3x) = 6 + -1(2x + 7) Reorder the terms: 5 + -3x = 6 + -1(7 + 2x) 5 + -3x = 6 + (7 * -1 + 2x * -1) 5 + -3x = 6 + (-7 + -2x) Combine like terms: 6 + -7 = -1 5 + -3x = -1 + -2x Solving 5 + -3x = -1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + -3x + 2x = -1 + -2x + 2x Combine like terms: -3x + 2x = -1x 5 + -1x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + -1x = -1 + 0 5 + -1x = -1 Add '-5' to each side of the equation. 5 + -5 + -1x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -1 + -5 -1x = -1 + -5 Combine like terms: -1 + -5 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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