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Simplifying 70(60) + 20x = 60(60 + x) Multiply 70 * 60 4200 + 20x = 60(60 + x) 4200 + 20x = (60 * 60 + x * 60) 4200 + 20x = (3600 + 60x) Solving 4200 + 20x = 3600 + 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. 4200 + 20x + -60x = 3600 + 60x + -60x Combine like terms: 20x + -60x = -40x 4200 + -40x = 3600 + 60x + -60x Combine like terms: 60x + -60x = 0 4200 + -40x = 3600 + 0 4200 + -40x = 3600 Add '-4200' to each side of the equation. 4200 + -4200 + -40x = 3600 + -4200 Combine like terms: 4200 + -4200 = 0 0 + -40x = 3600 + -4200 -40x = 3600 + -4200 Combine like terms: 3600 + -4200 = -600 -40x = -600 Divide each side by '-40'. x = 15 Simplifying x = 15
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