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Simplifying 3(-2x + -2 + -3) + -1(-1x + 2) = -2(x + 1) Reorder the terms: 3(-2 + -3 + -2x) + -1(-1x + 2) = -2(x + 1) Combine like terms: -2 + -3 = -5 3(-5 + -2x) + -1(-1x + 2) = -2(x + 1) (-5 * 3 + -2x * 3) + -1(-1x + 2) = -2(x + 1) (-15 + -6x) + -1(-1x + 2) = -2(x + 1) Reorder the terms: -15 + -6x + -1(2 + -1x) = -2(x + 1) -15 + -6x + (2 * -1 + -1x * -1) = -2(x + 1) -15 + -6x + (-2 + 1x) = -2(x + 1) Reorder the terms: -15 + -2 + -6x + 1x = -2(x + 1) Combine like terms: -15 + -2 = -17 -17 + -6x + 1x = -2(x + 1) Combine like terms: -6x + 1x = -5x -17 + -5x = -2(x + 1) Reorder the terms: -17 + -5x = -2(1 + x) -17 + -5x = (1 * -2 + x * -2) -17 + -5x = (-2 + -2x) Solving -17 + -5x = -2 + -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. -17 + -5x + 2x = -2 + -2x + 2x Combine like terms: -5x + 2x = -3x -17 + -3x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -17 + -3x = -2 + 0 -17 + -3x = -2 Add '17' to each side of the equation. -17 + 17 + -3x = -2 + 17 Combine like terms: -17 + 17 = 0 0 + -3x = -2 + 17 -3x = -2 + 17 Combine like terms: -2 + 17 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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