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Simplifying 3(x + 9) + x = 2(x + 5) + -8 Reorder the terms: 3(9 + x) + x = 2(x + 5) + -8 (9 * 3 + x * 3) + x = 2(x + 5) + -8 (27 + 3x) + x = 2(x + 5) + -8 Combine like terms: 3x + x = 4x 27 + 4x = 2(x + 5) + -8 Reorder the terms: 27 + 4x = 2(5 + x) + -8 27 + 4x = (5 * 2 + x * 2) + -8 27 + 4x = (10 + 2x) + -8 Reorder the terms: 27 + 4x = 10 + -8 + 2x Combine like terms: 10 + -8 = 2 27 + 4x = 2 + 2x Solving 27 + 4x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 27 + 4x + -2x = 2 + 2x + -2x Combine like terms: 4x + -2x = 2x 27 + 2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + 2x = 2 + 0 27 + 2x = 2 Add '-27' to each side of the equation. 27 + -27 + 2x = 2 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 2 + -27 2x = 2 + -27 Combine like terms: 2 + -27 = -25 2x = -25 Divide each side by '2'. x = -12.5 Simplifying x = -12.5
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