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Simplifying 3(x + 9) = -6(x + -9) Reorder the terms: 3(9 + x) = -6(x + -9) (9 * 3 + x * 3) = -6(x + -9) (27 + 3x) = -6(x + -9) Reorder the terms: 27 + 3x = -6(-9 + x) 27 + 3x = (-9 * -6 + x * -6) 27 + 3x = (54 + -6x) Solving 27 + 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. 27 + 3x + 6x = 54 + -6x + 6x Combine like terms: 3x + 6x = 9x 27 + 9x = 54 + -6x + 6x Combine like terms: -6x + 6x = 0 27 + 9x = 54 + 0 27 + 9x = 54 Add '-27' to each side of the equation. 27 + -27 + 9x = 54 + -27 Combine like terms: 27 + -27 = 0 0 + 9x = 54 + -27 9x = 54 + -27 Combine like terms: 54 + -27 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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