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Simplifying -4(2x + -3) = -1(3x + -2) Reorder the terms: -4(-3 + 2x) = -1(3x + -2) (-3 * -4 + 2x * -4) = -1(3x + -2) (12 + -8x) = -1(3x + -2) Reorder the terms: 12 + -8x = -1(-2 + 3x) 12 + -8x = (-2 * -1 + 3x * -1) 12 + -8x = (2 + -3x) Solving 12 + -8x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + -8x + 3x = 2 + -3x + 3x Combine like terms: -8x + 3x = -5x 12 + -5x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + -5x = 2 + 0 12 + -5x = 2 Add '-12' to each side of the equation. 12 + -12 + -5x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 2 + -12 -5x = 2 + -12 Combine like terms: 2 + -12 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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