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Simplifying 2(x + -12) = -2(4x + -3) Reorder the terms: 2(-12 + x) = -2(4x + -3) (-12 * 2 + x * 2) = -2(4x + -3) (-24 + 2x) = -2(4x + -3) Reorder the terms: -24 + 2x = -2(-3 + 4x) -24 + 2x = (-3 * -2 + 4x * -2) -24 + 2x = (6 + -8x) Solving -24 + 2x = 6 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -24 + 2x + 8x = 6 + -8x + 8x Combine like terms: 2x + 8x = 10x -24 + 10x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + 10x = 6 + 0 -24 + 10x = 6 Add '24' to each side of the equation. -24 + 24 + 10x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = 6 + 24 10x = 6 + 24 Combine like terms: 6 + 24 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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