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Simplifying -3(x + -3) = 6(x + 9) Reorder the terms: -3(-3 + x) = 6(x + 9) (-3 * -3 + x * -3) = 6(x + 9) (9 + -3x) = 6(x + 9) Reorder the terms: 9 + -3x = 6(9 + x) 9 + -3x = (9 * 6 + x * 6) 9 + -3x = (54 + 6x) Solving 9 + -3x = 54 + 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. 9 + -3x + -6x = 54 + 6x + -6x Combine like terms: -3x + -6x = -9x 9 + -9x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -9x = 54 + 0 9 + -9x = 54 Add '-9' to each side of the equation. 9 + -9 + -9x = 54 + -9 Combine like terms: 9 + -9 = 0 0 + -9x = 54 + -9 -9x = 54 + -9 Combine like terms: 54 + -9 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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