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Simplifying 12(24x + (-24)) = 2(3x(-17)) 12(24x + -24) = 2(3x(-17)) Reorder the terms: 12(-24 + 24x) = 2(3x(-17)) (-24 * 12 + 24x * 12) = 2(3x(-17)) (-288 + 288x) = 2(3x(-17)) Reorder the terms for easier multiplication: -288 + 288x = 2(3 * -17x) Multiply 3 * -17 -288 + 288x = 2(-51x) Remove parenthesis around (-51x) -288 + 288x = 2 * -51x Multiply 2 * -51 -288 + 288x = -102x Solving -288 + 288x = -102x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '102x' to each side of the equation. -288 + 288x + 102x = -102x + 102x Combine like terms: 288x + 102x = 390x -288 + 390x = -102x + 102x Combine like terms: -102x + 102x = 0 -288 + 390x = 0 Add '288' to each side of the equation. -288 + 288 + 390x = 0 + 288 Combine like terms: -288 + 288 = 0 0 + 390x = 0 + 288 390x = 0 + 288 Combine like terms: 0 + 288 = 288 390x = 288 Divide each side by '390'. x = 0.7384615385 Simplifying x = 0.7384615385
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