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Simplifying 2(6x + 24) + -20 = -4(12x + -72) Reorder the terms: 2(24 + 6x) + -20 = -4(12x + -72) (24 * 2 + 6x * 2) + -20 = -4(12x + -72) (48 + 12x) + -20 = -4(12x + -72) Reorder the terms: 48 + -20 + 12x = -4(12x + -72) Combine like terms: 48 + -20 = 28 28 + 12x = -4(12x + -72) Reorder the terms: 28 + 12x = -4(-72 + 12x) 28 + 12x = (-72 * -4 + 12x * -4) 28 + 12x = (288 + -48x) Solving 28 + 12x = 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. 28 + 12x + 48x = 288 + -48x + 48x Combine like terms: 12x + 48x = 60x 28 + 60x = 288 + -48x + 48x Combine like terms: -48x + 48x = 0 28 + 60x = 288 + 0 28 + 60x = 288 Add '-28' to each side of the equation. 28 + -28 + 60x = 288 + -28 Combine like terms: 28 + -28 = 0 0 + 60x = 288 + -28 60x = 288 + -28 Combine like terms: 288 + -28 = 260 60x = 260 Divide each side by '60'. x = 4.333333333 Simplifying x = 4.333333333
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