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Simplifying 2(3x + 5) + -1(8x + -7) = 6 Reorder the terms: 2(5 + 3x) + -1(8x + -7) = 6 (5 * 2 + 3x * 2) + -1(8x + -7) = 6 (10 + 6x) + -1(8x + -7) = 6 Reorder the terms: 10 + 6x + -1(-7 + 8x) = 6 10 + 6x + (-7 * -1 + 8x * -1) = 6 10 + 6x + (7 + -8x) = 6 Reorder the terms: 10 + 7 + 6x + -8x = 6 Combine like terms: 10 + 7 = 17 17 + 6x + -8x = 6 Combine like terms: 6x + -8x = -2x 17 + -2x = 6 Solving 17 + -2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2x = 6 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 6 + -17 -2x = 6 + -17 Combine like terms: 6 + -17 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5
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