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Simplifying 5(x + 2) + -1(2x + -7) = 0 Reorder the terms: 5(2 + x) + -1(2x + -7) = 0 (2 * 5 + x * 5) + -1(2x + -7) = 0 (10 + 5x) + -1(2x + -7) = 0 Reorder the terms: 10 + 5x + -1(-7 + 2x) = 0 10 + 5x + (-7 * -1 + 2x * -1) = 0 10 + 5x + (7 + -2x) = 0 Reorder the terms: 10 + 7 + 5x + -2x = 0 Combine like terms: 10 + 7 = 17 17 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x 17 + 3x = 0 Solving 17 + 3x = 0 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 + 3x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 0 + -17 3x = 0 + -17 Combine like terms: 0 + -17 = -17 3x = -17 Divide each side by '3'. x = -5.666666667 Simplifying x = -5.666666667
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