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Simplifying 5(x + 4) + -3(x + -5) = 63 Reorder the terms: 5(4 + x) + -3(x + -5) = 63 (4 * 5 + x * 5) + -3(x + -5) = 63 (20 + 5x) + -3(x + -5) = 63 Reorder the terms: 20 + 5x + -3(-5 + x) = 63 20 + 5x + (-5 * -3 + x * -3) = 63 20 + 5x + (15 + -3x) = 63 Reorder the terms: 20 + 15 + 5x + -3x = 63 Combine like terms: 20 + 15 = 35 35 + 5x + -3x = 63 Combine like terms: 5x + -3x = 2x 35 + 2x = 63 Solving 35 + 2x = 63 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 + 2x = 63 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = 63 + -35 2x = 63 + -35 Combine like terms: 63 + -35 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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