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Simplifying 5(8x + 9) + -28(x + -5) = 0 Reorder the terms: 5(9 + 8x) + -28(x + -5) = 0 (9 * 5 + 8x * 5) + -28(x + -5) = 0 (45 + 40x) + -28(x + -5) = 0 Reorder the terms: 45 + 40x + -28(-5 + x) = 0 45 + 40x + (-5 * -28 + x * -28) = 0 45 + 40x + (140 + -28x) = 0 Reorder the terms: 45 + 140 + 40x + -28x = 0 Combine like terms: 45 + 140 = 185 185 + 40x + -28x = 0 Combine like terms: 40x + -28x = 12x 185 + 12x = 0 Solving 185 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-185' to each side of the equation. 185 + -185 + 12x = 0 + -185 Combine like terms: 185 + -185 = 0 0 + 12x = 0 + -185 12x = 0 + -185 Combine like terms: 0 + -185 = -185 12x = -185 Divide each side by '12'. x = -15.41666667 Simplifying x = -15.41666667
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