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Simplifying 3(2x + -4) + -2 = -2(x + -5) Reorder the terms: 3(-4 + 2x) + -2 = -2(x + -5) (-4 * 3 + 2x * 3) + -2 = -2(x + -5) (-12 + 6x) + -2 = -2(x + -5) Reorder the terms: -12 + -2 + 6x = -2(x + -5) Combine like terms: -12 + -2 = -14 -14 + 6x = -2(x + -5) Reorder the terms: -14 + 6x = -2(-5 + x) -14 + 6x = (-5 * -2 + x * -2) -14 + 6x = (10 + -2x) Solving -14 + 6x = 10 + -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. -14 + 6x + 2x = 10 + -2x + 2x Combine like terms: 6x + 2x = 8x -14 + 8x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 8x = 10 + 0 -14 + 8x = 10 Add '14' to each side of the equation. -14 + 14 + 8x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 10 + 14 8x = 10 + 14 Combine like terms: 10 + 14 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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