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Simplifying 2 + -3(x + -1) = 7 + -2(x + -3) Reorder the terms: 2 + -3(-1 + x) = 7 + -2(x + -3) 2 + (-1 * -3 + x * -3) = 7 + -2(x + -3) 2 + (3 + -3x) = 7 + -2(x + -3) Combine like terms: 2 + 3 = 5 5 + -3x = 7 + -2(x + -3) Reorder the terms: 5 + -3x = 7 + -2(-3 + x) 5 + -3x = 7 + (-3 * -2 + x * -2) 5 + -3x = 7 + (6 + -2x) Combine like terms: 7 + 6 = 13 5 + -3x = 13 + -2x Solving 5 + -3x = 13 + -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 = 13 + -2x + 2x Combine like terms: -3x + 2x = -1x 5 + -1x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + -1x = 13 + 0 5 + -1x = 13 Add '-5' to each side of the equation. 5 + -5 + -1x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 13 + -5 -1x = 13 + -5 Combine like terms: 13 + -5 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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