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Simplifying 5 + 3(7 + x) = 12 + 3(5 + -1x) 5 + (7 * 3 + x * 3) = 12 + 3(5 + -1x) 5 + (21 + 3x) = 12 + 3(5 + -1x) Combine like terms: 5 + 21 = 26 26 + 3x = 12 + 3(5 + -1x) 26 + 3x = 12 + (5 * 3 + -1x * 3) 26 + 3x = 12 + (15 + -3x) Combine like terms: 12 + 15 = 27 26 + 3x = 27 + -3x Solving 26 + 3x = 27 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 26 + 3x + 3x = 27 + -3x + 3x Combine like terms: 3x + 3x = 6x 26 + 6x = 27 + -3x + 3x Combine like terms: -3x + 3x = 0 26 + 6x = 27 + 0 26 + 6x = 27 Add '-26' to each side of the equation. 26 + -26 + 6x = 27 + -26 Combine like terms: 26 + -26 = 0 0 + 6x = 27 + -26 6x = 27 + -26 Combine like terms: 27 + -26 = 1 6x = 1 Divide each side by '6'. x = 0.1666666667 Simplifying x = 0.1666666667
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