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Simplifying 3(x + 5) + 5(x + 4) = 27 Reorder the terms: 3(5 + x) + 5(x + 4) = 27 (5 * 3 + x * 3) + 5(x + 4) = 27 (15 + 3x) + 5(x + 4) = 27 Reorder the terms: 15 + 3x + 5(4 + x) = 27 15 + 3x + (4 * 5 + x * 5) = 27 15 + 3x + (20 + 5x) = 27 Reorder the terms: 15 + 20 + 3x + 5x = 27 Combine like terms: 15 + 20 = 35 35 + 3x + 5x = 27 Combine like terms: 3x + 5x = 8x 35 + 8x = 27 Solving 35 + 8x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 8x = 27 + -35 Combine like terms: 35 + -35 = 0 0 + 8x = 27 + -35 8x = 27 + -35 Combine like terms: 27 + -35 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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