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Simplifying -6x + 15 = -3(3 + x) Reorder the terms: 15 + -6x = -3(3 + x) 15 + -6x = (3 * -3 + x * -3) 15 + -6x = (-9 + -3x) Solving 15 + -6x = -9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 15 + -6x + 3x = -9 + -3x + 3x Combine like terms: -6x + 3x = -3x 15 + -3x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + -3x = -9 + 0 15 + -3x = -9 Add '-15' to each side of the equation. 15 + -15 + -3x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = -9 + -15 -3x = -9 + -15 Combine like terms: -9 + -15 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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