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Simplifying 3(5 + 3x) = -3(6 + -2x) (5 * 3 + 3x * 3) = -3(6 + -2x) (15 + 9x) = -3(6 + -2x) 15 + 9x = (6 * -3 + -2x * -3) 15 + 9x = (-18 + 6x) Solving 15 + 9x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 9x + -6x = -18 + 6x + -6x Combine like terms: 9x + -6x = 3x 15 + 3x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 3x = -18 + 0 15 + 3x = -18 Add '-15' to each side of the equation. 15 + -15 + 3x = -18 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = -18 + -15 3x = -18 + -15 Combine like terms: -18 + -15 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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