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Simplifying 2(x + 12) = -4(x + -12) Reorder the terms: 2(12 + x) = -4(x + -12) (12 * 2 + x * 2) = -4(x + -12) (24 + 2x) = -4(x + -12) Reorder the terms: 24 + 2x = -4(-12 + x) 24 + 2x = (-12 * -4 + x * -4) 24 + 2x = (48 + -4x) Solving 24 + 2x = 48 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 24 + 2x + 4x = 48 + -4x + 4x Combine like terms: 2x + 4x = 6x 24 + 6x = 48 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 6x = 48 + 0 24 + 6x = 48 Add '-24' to each side of the equation. 24 + -24 + 6x = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 48 + -24 6x = 48 + -24 Combine like terms: 48 + -24 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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