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Simplifying 3(24 + -8x) = 2(5x + -7) (24 * 3 + -8x * 3) = 2(5x + -7) (72 + -24x) = 2(5x + -7) Reorder the terms: 72 + -24x = 2(-7 + 5x) 72 + -24x = (-7 * 2 + 5x * 2) 72 + -24x = (-14 + 10x) Solving 72 + -24x = -14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 72 + -24x + -10x = -14 + 10x + -10x Combine like terms: -24x + -10x = -34x 72 + -34x = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 72 + -34x = -14 + 0 72 + -34x = -14 Add '-72' to each side of the equation. 72 + -72 + -34x = -14 + -72 Combine like terms: 72 + -72 = 0 0 + -34x = -14 + -72 -34x = -14 + -72 Combine like terms: -14 + -72 = -86 -34x = -86 Divide each side by '-34'. x = 2.529411765 Simplifying x = 2.529411765
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