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Simplifying 7(x + -2) + 3(x + 1) + -2(x + -1) = 3(2x + -5) + -2 Reorder the terms: 7(-2 + x) + 3(x + 1) + -2(x + -1) = 3(2x + -5) + -2 (-2 * 7 + x * 7) + 3(x + 1) + -2(x + -1) = 3(2x + -5) + -2 (-14 + 7x) + 3(x + 1) + -2(x + -1) = 3(2x + -5) + -2 Reorder the terms: -14 + 7x + 3(1 + x) + -2(x + -1) = 3(2x + -5) + -2 -14 + 7x + (1 * 3 + x * 3) + -2(x + -1) = 3(2x + -5) + -2 -14 + 7x + (3 + 3x) + -2(x + -1) = 3(2x + -5) + -2 Reorder the terms: -14 + 7x + 3 + 3x + -2(-1 + x) = 3(2x + -5) + -2 -14 + 7x + 3 + 3x + (-1 * -2 + x * -2) = 3(2x + -5) + -2 -14 + 7x + 3 + 3x + (2 + -2x) = 3(2x + -5) + -2 Reorder the terms: -14 + 3 + 2 + 7x + 3x + -2x = 3(2x + -5) + -2 Combine like terms: -14 + 3 = -11 -11 + 2 + 7x + 3x + -2x = 3(2x + -5) + -2 Combine like terms: -11 + 2 = -9 -9 + 7x + 3x + -2x = 3(2x + -5) + -2 Combine like terms: 7x + 3x = 10x -9 + 10x + -2x = 3(2x + -5) + -2 Combine like terms: 10x + -2x = 8x -9 + 8x = 3(2x + -5) + -2 Reorder the terms: -9 + 8x = 3(-5 + 2x) + -2 -9 + 8x = (-5 * 3 + 2x * 3) + -2 -9 + 8x = (-15 + 6x) + -2 Reorder the terms: -9 + 8x = -15 + -2 + 6x Combine like terms: -15 + -2 = -17 -9 + 8x = -17 + 6x Solving -9 + 8x = -17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 8x + -6x = -17 + 6x + -6x Combine like terms: 8x + -6x = 2x -9 + 2x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 2x = -17 + 0 -9 + 2x = -17 Add '9' to each side of the equation. -9 + 9 + 2x = -17 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -17 + 9 2x = -17 + 9 Combine like terms: -17 + 9 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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