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Simplifying 3 + 2(x + 6) = 5(x + -1) Reorder the terms: 3 + 2(6 + x) = 5(x + -1) 3 + (6 * 2 + x * 2) = 5(x + -1) 3 + (12 + 2x) = 5(x + -1) Combine like terms: 3 + 12 = 15 15 + 2x = 5(x + -1) Reorder the terms: 15 + 2x = 5(-1 + x) 15 + 2x = (-1 * 5 + x * 5) 15 + 2x = (-5 + 5x) Solving 15 + 2x = -5 + 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. 15 + 2x + -5x = -5 + 5x + -5x Combine like terms: 2x + -5x = -3x 15 + -3x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -3x = -5 + 0 15 + -3x = -5 Add '-15' to each side of the equation. 15 + -15 + -3x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = -5 + -15 -3x = -5 + -15 Combine like terms: -5 + -15 = -20 -3x = -20 Divide each side by '-3'. x = 6.666666667 Simplifying x = 6.666666667
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