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Simplifying 3(2x + -4) = 2(5x + -7) Reorder the terms: 3(-4 + 2x) = 2(5x + -7) (-4 * 3 + 2x * 3) = 2(5x + -7) (-12 + 6x) = 2(5x + -7) Reorder the terms: -12 + 6x = 2(-7 + 5x) -12 + 6x = (-7 * 2 + 5x * 2) -12 + 6x = (-14 + 10x) Solving -12 + 6x = -14 + 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. -12 + 6x + -10x = -14 + 10x + -10x Combine like terms: 6x + -10x = -4x -12 + -4x = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -4x = -14 + 0 -12 + -4x = -14 Add '12' to each side of the equation. -12 + 12 + -4x = -14 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -14 + 12 -4x = -14 + 12 Combine like terms: -14 + 12 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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