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Simplifying 5(x + 40) = 3(x + 72) + -58 Reorder the terms: 5(40 + x) = 3(x + 72) + -58 (40 * 5 + x * 5) = 3(x + 72) + -58 (200 + 5x) = 3(x + 72) + -58 Reorder the terms: 200 + 5x = 3(72 + x) + -58 200 + 5x = (72 * 3 + x * 3) + -58 200 + 5x = (216 + 3x) + -58 Reorder the terms: 200 + 5x = 216 + -58 + 3x Combine like terms: 216 + -58 = 158 200 + 5x = 158 + 3x Solving 200 + 5x = 158 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 200 + 5x + -3x = 158 + 3x + -3x Combine like terms: 5x + -3x = 2x 200 + 2x = 158 + 3x + -3x Combine like terms: 3x + -3x = 0 200 + 2x = 158 + 0 200 + 2x = 158 Add '-200' to each side of the equation. 200 + -200 + 2x = 158 + -200 Combine like terms: 200 + -200 = 0 0 + 2x = 158 + -200 2x = 158 + -200 Combine like terms: 158 + -200 = -42 2x = -42 Divide each side by '2'. x = -21 Simplifying x = -21
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