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Simplifying 3(5 + -3x) = -3(5 + 4x) (5 * 3 + -3x * 3) = -3(5 + 4x) (15 + -9x) = -3(5 + 4x) 15 + -9x = (5 * -3 + 4x * -3) 15 + -9x = (-15 + -12x) Solving 15 + -9x = -15 + -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 + -9x + 12x = -15 + -12x + 12x Combine like terms: -9x + 12x = 3x 15 + 3x = -15 + -12x + 12x Combine like terms: -12x + 12x = 0 15 + 3x = -15 + 0 15 + 3x = -15 Add '-15' to each side of the equation. 15 + -15 + 3x = -15 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = -15 + -15 3x = -15 + -15 Combine like terms: -15 + -15 = -30 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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