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Simplifying -3(1 + -1x) + 2(-2x + -3) = 2(x + -4) (1 * -3 + -1x * -3) + 2(-2x + -3) = 2(x + -4) (-3 + 3x) + 2(-2x + -3) = 2(x + -4) Reorder the terms: -3 + 3x + 2(-3 + -2x) = 2(x + -4) -3 + 3x + (-3 * 2 + -2x * 2) = 2(x + -4) -3 + 3x + (-6 + -4x) = 2(x + -4) Reorder the terms: -3 + -6 + 3x + -4x = 2(x + -4) Combine like terms: -3 + -6 = -9 -9 + 3x + -4x = 2(x + -4) Combine like terms: 3x + -4x = -1x -9 + -1x = 2(x + -4) Reorder the terms: -9 + -1x = 2(-4 + x) -9 + -1x = (-4 * 2 + x * 2) -9 + -1x = (-8 + 2x) Solving -9 + -1x = -8 + 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. -9 + -1x + -2x = -8 + 2x + -2x Combine like terms: -1x + -2x = -3x -9 + -3x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + -3x = -8 + 0 -9 + -3x = -8 Add '9' to each side of the equation. -9 + 9 + -3x = -8 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -8 + 9 -3x = -8 + 9 Combine like terms: -8 + 9 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333
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