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Simplifying 2(12 + -1x) = 2(x + -5) (12 * 2 + -1x * 2) = 2(x + -5) (24 + -2x) = 2(x + -5) Reorder the terms: 24 + -2x = 2(-5 + x) 24 + -2x = (-5 * 2 + x * 2) 24 + -2x = (-10 + 2x) Solving 24 + -2x = -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. 24 + -2x + -2x = -10 + 2x + -2x Combine like terms: -2x + -2x = -4x 24 + -4x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -4x = -10 + 0 24 + -4x = -10 Add '-24' to each side of the equation. 24 + -24 + -4x = -10 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = -10 + -24 -4x = -10 + -24 Combine like terms: -10 + -24 = -34 -4x = -34 Divide each side by '-4'. x = 8.5 Simplifying x = 8.5
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