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Simplifying 4(24x + 60) = 3(60x + -84) Reorder the terms: 4(60 + 24x) = 3(60x + -84) (60 * 4 + 24x * 4) = 3(60x + -84) (240 + 96x) = 3(60x + -84) Reorder the terms: 240 + 96x = 3(-84 + 60x) 240 + 96x = (-84 * 3 + 60x * 3) 240 + 96x = (-252 + 180x) Solving 240 + 96x = -252 + 180x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-180x' to each side of the equation. 240 + 96x + -180x = -252 + 180x + -180x Combine like terms: 96x + -180x = -84x 240 + -84x = -252 + 180x + -180x Combine like terms: 180x + -180x = 0 240 + -84x = -252 + 0 240 + -84x = -252 Add '-240' to each side of the equation. 240 + -240 + -84x = -252 + -240 Combine like terms: 240 + -240 = 0 0 + -84x = -252 + -240 -84x = -252 + -240 Combine like terms: -252 + -240 = -492 -84x = -492 Divide each side by '-84'. x = 5.857142857 Simplifying x = 5.857142857
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