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Simplifying 4(3 + -5x) = 3(-3x + 15) (3 * 4 + -5x * 4) = 3(-3x + 15) (12 + -20x) = 3(-3x + 15) Reorder the terms: 12 + -20x = 3(15 + -3x) 12 + -20x = (15 * 3 + -3x * 3) 12 + -20x = (45 + -9x) Solving 12 + -20x = 45 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 12 + -20x + 9x = 45 + -9x + 9x Combine like terms: -20x + 9x = -11x 12 + -11x = 45 + -9x + 9x Combine like terms: -9x + 9x = 0 12 + -11x = 45 + 0 12 + -11x = 45 Add '-12' to each side of the equation. 12 + -12 + -11x = 45 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = 45 + -12 -11x = 45 + -12 Combine like terms: 45 + -12 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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