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Simplifying 13(6x + 24) + -20 = -14(12x + -72) Reorder the terms: 13(24 + 6x) + -20 = -14(12x + -72) (24 * 13 + 6x * 13) + -20 = -14(12x + -72) (312 + 78x) + -20 = -14(12x + -72) Reorder the terms: 312 + -20 + 78x = -14(12x + -72) Combine like terms: 312 + -20 = 292 292 + 78x = -14(12x + -72) Reorder the terms: 292 + 78x = -14(-72 + 12x) 292 + 78x = (-72 * -14 + 12x * -14) 292 + 78x = (1008 + -168x) Solving 292 + 78x = 1008 + -168x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '168x' to each side of the equation. 292 + 78x + 168x = 1008 + -168x + 168x Combine like terms: 78x + 168x = 246x 292 + 246x = 1008 + -168x + 168x Combine like terms: -168x + 168x = 0 292 + 246x = 1008 + 0 292 + 246x = 1008 Add '-292' to each side of the equation. 292 + -292 + 246x = 1008 + -292 Combine like terms: 292 + -292 = 0 0 + 246x = 1008 + -292 246x = 1008 + -292 Combine like terms: 1008 + -292 = 716 246x = 716 Divide each side by '246'. x = 2.910569106 Simplifying x = 2.910569106
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