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Simplifying 5(x + 4) + -1(2x + -7) = 0 Reorder the terms: 5(4 + x) + -1(2x + -7) = 0 (4 * 5 + x * 5) + -1(2x + -7) = 0 (20 + 5x) + -1(2x + -7) = 0 Reorder the terms: 20 + 5x + -1(-7 + 2x) = 0 20 + 5x + (-7 * -1 + 2x * -1) = 0 20 + 5x + (7 + -2x) = 0 Reorder the terms: 20 + 7 + 5x + -2x = 0 Combine like terms: 20 + 7 = 27 27 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x 27 + 3x = 0 Solving 27 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 3x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = 0 + -27 3x = 0 + -27 Combine like terms: 0 + -27 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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