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Simplifying 9 + -3(x + -5) = 3(2 + -3x) Reorder the terms: 9 + -3(-5 + x) = 3(2 + -3x) 9 + (-5 * -3 + x * -3) = 3(2 + -3x) 9 + (15 + -3x) = 3(2 + -3x) Combine like terms: 9 + 15 = 24 24 + -3x = 3(2 + -3x) 24 + -3x = (2 * 3 + -3x * 3) 24 + -3x = (6 + -9x) Solving 24 + -3x = 6 + -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. 24 + -3x + 9x = 6 + -9x + 9x Combine like terms: -3x + 9x = 6x 24 + 6x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 24 + 6x = 6 + 0 24 + 6x = 6 Add '-24' to each side of the equation. 24 + -24 + 6x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 6 + -24 6x = 6 + -24 Combine like terms: 6 + -24 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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