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Simplifying -2(x + 12) = 40 + 2(-4 + 2x) Reorder the terms: -2(12 + x) = 40 + 2(-4 + 2x) (12 * -2 + x * -2) = 40 + 2(-4 + 2x) (-24 + -2x) = 40 + 2(-4 + 2x) -24 + -2x = 40 + (-4 * 2 + 2x * 2) -24 + -2x = 40 + (-8 + 4x) Combine like terms: 40 + -8 = 32 -24 + -2x = 32 + 4x Solving -24 + -2x = 32 + 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 = 32 + 4x + -4x Combine like terms: -2x + -4x = -6x -24 + -6x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + -6x = 32 + 0 -24 + -6x = 32 Add '24' to each side of the equation. -24 + 24 + -6x = 32 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = 32 + 24 -6x = 32 + 24 Combine like terms: 32 + 24 = 56 -6x = 56 Divide each side by '-6'. x = -9.333333333 Simplifying x = -9.333333333
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