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Simplifying 2(x + 12) = 7 + 5x Reorder the terms: 2(12 + x) = 7 + 5x (12 * 2 + x * 2) = 7 + 5x (24 + 2x) = 7 + 5x Solving 24 + 2x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 2x + -5x = 7 + 5x + -5x Combine like terms: 2x + -5x = -3x 24 + -3x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -3x = 7 + 0 24 + -3x = 7 Add '-24' to each side of the equation. 24 + -24 + -3x = 7 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = 7 + -24 -3x = 7 + -24 Combine like terms: 7 + -24 = -17 -3x = -17 Divide each side by '-3'. x = 5.666666667 Simplifying x = 5.666666667
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