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Simplifying 0.75(12 + -20x) = 12 + -1(3x + -13) (12 * 0.75 + -20x * 0.75) = 12 + -1(3x + -13) (9 + -15x) = 12 + -1(3x + -13) Reorder the terms: 9 + -15x = 12 + -1(-13 + 3x) 9 + -15x = 12 + (-13 * -1 + 3x * -1) 9 + -15x = 12 + (13 + -3x) Combine like terms: 12 + 13 = 25 9 + -15x = 25 + -3x Solving 9 + -15x = 25 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 9 + -15x + 3x = 25 + -3x + 3x Combine like terms: -15x + 3x = -12x 9 + -12x = 25 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + -12x = 25 + 0 9 + -12x = 25 Add '-9' to each side of the equation. 9 + -9 + -12x = 25 + -9 Combine like terms: 9 + -9 = 0 0 + -12x = 25 + -9 -12x = 25 + -9 Combine like terms: 25 + -9 = 16 -12x = 16 Divide each side by '-12'. x = -1.333333333 Simplifying x = -1.333333333
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