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Simplifying 2(x + 3) = 5(2 + -1x) + -2 Reorder the terms: 2(3 + x) = 5(2 + -1x) + -2 (3 * 2 + x * 2) = 5(2 + -1x) + -2 (6 + 2x) = 5(2 + -1x) + -2 6 + 2x = (2 * 5 + -1x * 5) + -2 6 + 2x = (10 + -5x) + -2 Reorder the terms: 6 + 2x = 10 + -2 + -5x Combine like terms: 10 + -2 = 8 6 + 2x = 8 + -5x Solving 6 + 2x = 8 + -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. 6 + 2x + 5x = 8 + -5x + 5x Combine like terms: 2x + 5x = 7x 6 + 7x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 7x = 8 + 0 6 + 7x = 8 Add '-6' to each side of the equation. 6 + -6 + 7x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 8 + -6 7x = 8 + -6 Combine like terms: 8 + -6 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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