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Simplifying 3(x + 9) = -5(x + -9) Reorder the terms: 3(9 + x) = -5(x + -9) (9 * 3 + x * 3) = -5(x + -9) (27 + 3x) = -5(x + -9) Reorder the terms: 27 + 3x = -5(-9 + x) 27 + 3x = (-9 * -5 + x * -5) 27 + 3x = (45 + -5x) Solving 27 + 3x = 45 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 27 + 3x + 5x = 45 + -5x + 5x Combine like terms: 3x + 5x = 8x 27 + 8x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 27 + 8x = 45 + 0 27 + 8x = 45 Add '-27' to each side of the equation. 27 + -27 + 8x = 45 + -27 Combine like terms: 27 + -27 = 0 0 + 8x = 45 + -27 8x = 45 + -27 Combine like terms: 45 + -27 = 18 8x = 18 Divide each side by '8'. x = 2.25 Simplifying x = 2.25
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