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