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Simplifying 100x + 480 = 60(12 + x) Reorder the terms: 480 + 100x = 60(12 + x) 480 + 100x = (12 * 60 + x * 60) 480 + 100x = (720 + 60x) Solving 480 + 100x = 720 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 480 + 100x + -60x = 720 + 60x + -60x Combine like terms: 100x + -60x = 40x 480 + 40x = 720 + 60x + -60x Combine like terms: 60x + -60x = 0 480 + 40x = 720 + 0 480 + 40x = 720 Add '-480' to each side of the equation. 480 + -480 + 40x = 720 + -480 Combine like terms: 480 + -480 = 0 0 + 40x = 720 + -480 40x = 720 + -480 Combine like terms: 720 + -480 = 240 40x = 240 Divide each side by '40'. x = 6 Simplifying x = 6
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