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Simplifying -5(x + -3) + -1(2x + 7) = 0 Reorder the terms: -5(-3 + x) + -1(2x + 7) = 0 (-3 * -5 + x * -5) + -1(2x + 7) = 0 (15 + -5x) + -1(2x + 7) = 0 Reorder the terms: 15 + -5x + -1(7 + 2x) = 0 15 + -5x + (7 * -1 + 2x * -1) = 0 15 + -5x + (-7 + -2x) = 0 Reorder the terms: 15 + -7 + -5x + -2x = 0 Combine like terms: 15 + -7 = 8 8 + -5x + -2x = 0 Combine like terms: -5x + -2x = -7x 8 + -7x = 0 Solving 8 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143
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