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Simplifying 5(4 + -1x) = 9(x + -4) (4 * 5 + -1x * 5) = 9(x + -4) (20 + -5x) = 9(x + -4) Reorder the terms: 20 + -5x = 9(-4 + x) 20 + -5x = (-4 * 9 + x * 9) 20 + -5x = (-36 + 9x) Solving 20 + -5x = -36 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 20 + -5x + -9x = -36 + 9x + -9x Combine like terms: -5x + -9x = -14x 20 + -14x = -36 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + -14x = -36 + 0 20 + -14x = -36 Add '-20' to each side of the equation. 20 + -20 + -14x = -36 + -20 Combine like terms: 20 + -20 = 0 0 + -14x = -36 + -20 -14x = -36 + -20 Combine like terms: -36 + -20 = -56 -14x = -56 Divide each side by '-14'. x = 4 Simplifying x = 4
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