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Simplifying 27 + -1(2x + 1) = 5x + -2(5 + w) Reorder the terms: 27 + -1(1 + 2x) = 5x + -2(5 + w) 27 + (1 * -1 + 2x * -1) = 5x + -2(5 + w) 27 + (-1 + -2x) = 5x + -2(5 + w) Combine like terms: 27 + -1 = 26 26 + -2x = 5x + -2(5 + w) 26 + -2x = 5x + (5 * -2 + w * -2) 26 + -2x = 5x + (-10 + -2w) Reorder the terms: 26 + -2x = -10 + -2w + 5x Solving 26 + -2x = -10 + -2w + 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. 26 + -2x + -5x = -10 + -2w + 5x + -5x Combine like terms: -2x + -5x = -7x 26 + -7x = -10 + -2w + 5x + -5x Combine like terms: 5x + -5x = 0 26 + -7x = -10 + -2w + 0 26 + -7x = -10 + -2w Add '-26' to each side of the equation. 26 + -26 + -7x = -10 + -26 + -2w Combine like terms: 26 + -26 = 0 0 + -7x = -10 + -26 + -2w -7x = -10 + -26 + -2w Combine like terms: -10 + -26 = -36 -7x = -36 + -2w Divide each side by '-7'. x = 5.142857143 + 0.2857142857w Simplifying x = 5.142857143 + 0.2857142857w
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