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Simplifying 4(6 + -2x) = 12 + -5(x + -5) (6 * 4 + -2x * 4) = 12 + -5(x + -5) (24 + -8x) = 12 + -5(x + -5) Reorder the terms: 24 + -8x = 12 + -5(-5 + x) 24 + -8x = 12 + (-5 * -5 + x * -5) 24 + -8x = 12 + (25 + -5x) Combine like terms: 12 + 25 = 37 24 + -8x = 37 + -5x Solving 24 + -8x = 37 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 24 + -8x + 5x = 37 + -5x + 5x Combine like terms: -8x + 5x = -3x 24 + -3x = 37 + -5x + 5x Combine like terms: -5x + 5x = 0 24 + -3x = 37 + 0 24 + -3x = 37 Add '-24' to each side of the equation. 24 + -24 + -3x = 37 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = 37 + -24 -3x = 37 + -24 Combine like terms: 37 + -24 = 13 -3x = 13 Divide each side by '-3'. x = -4.333333333 Simplifying x = -4.333333333
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