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Simplifying 5(x + 2) + -3(x + 5) = 29 Reorder the terms: 5(2 + x) + -3(x + 5) = 29 (2 * 5 + x * 5) + -3(x + 5) = 29 (10 + 5x) + -3(x + 5) = 29 Reorder the terms: 10 + 5x + -3(5 + x) = 29 10 + 5x + (5 * -3 + x * -3) = 29 10 + 5x + (-15 + -3x) = 29 Reorder the terms: 10 + -15 + 5x + -3x = 29 Combine like terms: 10 + -15 = -5 -5 + 5x + -3x = 29 Combine like terms: 5x + -3x = 2x -5 + 2x = 29 Solving -5 + 2x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 29 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 29 + 5 2x = 29 + 5 Combine like terms: 29 + 5 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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