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Simplifying -6x + 9 = -3(x + 5) Reorder the terms: 9 + -6x = -3(x + 5) Reorder the terms: 9 + -6x = -3(5 + x) 9 + -6x = (5 * -3 + x * -3) 9 + -6x = (-15 + -3x) Solving 9 + -6x = -15 + -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. 9 + -6x + 3x = -15 + -3x + 3x Combine like terms: -6x + 3x = -3x 9 + -3x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + -3x = -15 + 0 9 + -3x = -15 Add '-9' to each side of the equation. 9 + -9 + -3x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -15 + -9 -3x = -15 + -9 Combine like terms: -15 + -9 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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