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Simplifying -4(x + -8) = 2(5x + -12) Reorder the terms: -4(-8 + x) = 2(5x + -12) (-8 * -4 + x * -4) = 2(5x + -12) (32 + -4x) = 2(5x + -12) Reorder the terms: 32 + -4x = 2(-12 + 5x) 32 + -4x = (-12 * 2 + 5x * 2) 32 + -4x = (-24 + 10x) Solving 32 + -4x = -24 + 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. 32 + -4x + -10x = -24 + 10x + -10x Combine like terms: -4x + -10x = -14x 32 + -14x = -24 + 10x + -10x Combine like terms: 10x + -10x = 0 32 + -14x = -24 + 0 32 + -14x = -24 Add '-32' to each side of the equation. 32 + -32 + -14x = -24 + -32 Combine like terms: 32 + -32 = 0 0 + -14x = -24 + -32 -14x = -24 + -32 Combine like terms: -24 + -32 = -56 -14x = -56 Divide each side by '-14'. x = 4 Simplifying x = 4
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