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Simplifying 12(45 + -2x + 2) = 2x + 2(15) Reorder the terms: 12(45 + 2 + -2x) = 2x + 2(15) Combine like terms: 45 + 2 = 47 12(47 + -2x) = 2x + 2(15) (47 * 12 + -2x * 12) = 2x + 2(15) (564 + -24x) = 2x + 2(15) Multiply 2 * 15 564 + -24x = 2x + 30 Reorder the terms: 564 + -24x = 30 + 2x Solving 564 + -24x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 564 + -24x + -2x = 30 + 2x + -2x Combine like terms: -24x + -2x = -26x 564 + -26x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 564 + -26x = 30 + 0 564 + -26x = 30 Add '-564' to each side of the equation. 564 + -564 + -26x = 30 + -564 Combine like terms: 564 + -564 = 0 0 + -26x = 30 + -564 -26x = 30 + -564 Combine like terms: 30 + -564 = -534 -26x = -534 Divide each side by '-26'. x = 20.53846154 Simplifying x = 20.53846154
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