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Simplifying 632.70 = 38(x + 2.65) Reorder the terms: 632.70 = 38(2.65 + x) 632.70 = (2.65 * 38 + x * 38) 632.70 = (100.7 + 38x) Solving 632.70 = 100.7 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 632.70 + -38x = 100.7 + 38x + -38x Combine like terms: 38x + -38x = 0 632.70 + -38x = 100.7 + 0 632.70 + -38x = 100.7 Add '-632.70' to each side of the equation. 632.70 + -632.70 + -38x = 100.7 + -632.70 Combine like terms: 632.70 + -632.70 = 0.00 0.00 + -38x = 100.7 + -632.70 -38x = 100.7 + -632.70 Combine like terms: 100.7 + -632.70 = -532 -38x = -532 Divide each side by '-38'. x = 14 Simplifying x = 14
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