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Simplifying 7 + -1(2x + -5) = -1(3x + 7) Reorder the terms: 7 + -1(-5 + 2x) = -1(3x + 7) 7 + (-5 * -1 + 2x * -1) = -1(3x + 7) 7 + (5 + -2x) = -1(3x + 7) Combine like terms: 7 + 5 = 12 12 + -2x = -1(3x + 7) Reorder the terms: 12 + -2x = -1(7 + 3x) 12 + -2x = (7 * -1 + 3x * -1) 12 + -2x = (-7 + -3x) Solving 12 + -2x = -7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + -2x + 3x = -7 + -3x + 3x Combine like terms: -2x + 3x = 1x 12 + 1x = -7 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 1x = -7 + 0 12 + 1x = -7 Add '-12' to each side of the equation. 12 + -12 + 1x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -7 + -12 1x = -7 + -12 Combine like terms: -7 + -12 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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