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Simplifying -3(4x + 2) = -2(5x + -4) Reorder the terms: -3(2 + 4x) = -2(5x + -4) (2 * -3 + 4x * -3) = -2(5x + -4) (-6 + -12x) = -2(5x + -4) Reorder the terms: -6 + -12x = -2(-4 + 5x) -6 + -12x = (-4 * -2 + 5x * -2) -6 + -12x = (8 + -10x) Solving -6 + -12x = 8 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -6 + -12x + 10x = 8 + -10x + 10x Combine like terms: -12x + 10x = -2x -6 + -2x = 8 + -10x + 10x Combine like terms: -10x + 10x = 0 -6 + -2x = 8 + 0 -6 + -2x = 8 Add '6' to each side of the equation. -6 + 6 + -2x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 8 + 6 -2x = 8 + 6 Combine like terms: 8 + 6 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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