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Simplifying 3(6x + 24) + -20 = -4(12x + -72) Reorder the terms: 3(24 + 6x) + -20 = -4(12x + -72) (24 * 3 + 6x * 3) + -20 = -4(12x + -72) (72 + 18x) + -20 = -4(12x + -72) Reorder the terms: 72 + -20 + 18x = -4(12x + -72) Combine like terms: 72 + -20 = 52 52 + 18x = -4(12x + -72) Reorder the terms: 52 + 18x = -4(-72 + 12x) 52 + 18x = (-72 * -4 + 12x * -4) 52 + 18x = (288 + -48x) Solving 52 + 18x = 288 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 52 + 18x + 48x = 288 + -48x + 48x Combine like terms: 18x + 48x = 66x 52 + 66x = 288 + -48x + 48x Combine like terms: -48x + 48x = 0 52 + 66x = 288 + 0 52 + 66x = 288 Add '-52' to each side of the equation. 52 + -52 + 66x = 288 + -52 Combine like terms: 52 + -52 = 0 0 + 66x = 288 + -52 66x = 288 + -52 Combine like terms: 288 + -52 = 236 66x = 236 Divide each side by '66'. x = 3.575757576 Simplifying x = 3.575757576
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