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Simplifying 5(x + 2) + 3(4 + x) + -5 = 0 Reorder the terms: 5(2 + x) + 3(4 + x) + -5 = 0 (2 * 5 + x * 5) + 3(4 + x) + -5 = 0 (10 + 5x) + 3(4 + x) + -5 = 0 10 + 5x + (4 * 3 + x * 3) + -5 = 0 10 + 5x + (12 + 3x) + -5 = 0 Reorder the terms: 10 + 12 + -5 + 5x + 3x = 0 Combine like terms: 10 + 12 = 22 22 + -5 + 5x + 3x = 0 Combine like terms: 22 + -5 = 17 17 + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x 17 + 8x = 0 Solving 17 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 8x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 8x = 0 + -17 8x = 0 + -17 Combine like terms: 0 + -17 = -17 8x = -17 Divide each side by '8'. x = -2.125 Simplifying x = -2.125
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