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Simplifying 3(2x + -1) + 7 = 8 + -1(x + -2) Reorder the terms: 3(-1 + 2x) + 7 = 8 + -1(x + -2) (-1 * 3 + 2x * 3) + 7 = 8 + -1(x + -2) (-3 + 6x) + 7 = 8 + -1(x + -2) Reorder the terms: -3 + 7 + 6x = 8 + -1(x + -2) Combine like terms: -3 + 7 = 4 4 + 6x = 8 + -1(x + -2) Reorder the terms: 4 + 6x = 8 + -1(-2 + x) 4 + 6x = 8 + (-2 * -1 + x * -1) 4 + 6x = 8 + (2 + -1x) Combine like terms: 8 + 2 = 10 4 + 6x = 10 + -1x Solving 4 + 6x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + 6x + x = 10 + -1x + x Combine like terms: 6x + x = 7x 4 + 7x = 10 + -1x + x Combine like terms: -1x + x = 0 4 + 7x = 10 + 0 4 + 7x = 10 Add '-4' to each side of the equation. 4 + -4 + 7x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 10 + -4 7x = 10 + -4 Combine like terms: 10 + -4 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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