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Simplifying 3(2x + -4) + -12 = 2(4 + -5x) Reorder the terms: 3(-4 + 2x) + -12 = 2(4 + -5x) (-4 * 3 + 2x * 3) + -12 = 2(4 + -5x) (-12 + 6x) + -12 = 2(4 + -5x) Reorder the terms: -12 + -12 + 6x = 2(4 + -5x) Combine like terms: -12 + -12 = -24 -24 + 6x = 2(4 + -5x) -24 + 6x = (4 * 2 + -5x * 2) -24 + 6x = (8 + -10x) Solving -24 + 6x = 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. -24 + 6x + 10x = 8 + -10x + 10x Combine like terms: 6x + 10x = 16x -24 + 16x = 8 + -10x + 10x Combine like terms: -10x + 10x = 0 -24 + 16x = 8 + 0 -24 + 16x = 8 Add '24' to each side of the equation. -24 + 24 + 16x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 16x = 8 + 24 16x = 8 + 24 Combine like terms: 8 + 24 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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