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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 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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