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Simplifying 5(3 + -3x) = -3(4x + -8) (3 * 5 + -3x * 5) = -3(4x + -8) (15 + -15x) = -3(4x + -8) Reorder the terms: 15 + -15x = -3(-8 + 4x) 15 + -15x = (-8 * -3 + 4x * -3) 15 + -15x = (24 + -12x) Solving 15 + -15x = 24 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 15 + -15x + 12x = 24 + -12x + 12x Combine like terms: -15x + 12x = -3x 15 + -3x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 15 + -3x = 24 + 0 15 + -3x = 24 Add '-15' to each side of the equation. 15 + -15 + -3x = 24 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 24 + -15 -3x = 24 + -15 Combine like terms: 24 + -15 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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