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Simplifying 5(x + 4) + 1(x + -20) = 20x + 280 Reorder the terms: 5(4 + x) + 1(x + -20) = 20x + 280 (4 * 5 + x * 5) + 1(x + -20) = 20x + 280 (20 + 5x) + 1(x + -20) = 20x + 280 Reorder the terms: 20 + 5x + 1(-20 + x) = 20x + 280 20 + 5x + (-20 * 1 + x * 1) = 20x + 280 20 + 5x + (-20 + 1x) = 20x + 280 Reorder the terms: 20 + -20 + 5x + 1x = 20x + 280 Combine like terms: 20 + -20 = 0 0 + 5x + 1x = 20x + 280 5x + 1x = 20x + 280 Combine like terms: 5x + 1x = 6x 6x = 20x + 280 Reorder the terms: 6x = 280 + 20x Solving 6x = 280 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 6x + -20x = 280 + 20x + -20x Combine like terms: 6x + -20x = -14x -14x = 280 + 20x + -20x Combine like terms: 20x + -20x = 0 -14x = 280 + 0 -14x = 280 Divide each side by '-14'. x = -20 Simplifying x = -20
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