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Simplifying 5(4 + 2x) = 9(x + -5) (4 * 5 + 2x * 5) = 9(x + -5) (20 + 10x) = 9(x + -5) Reorder the terms: 20 + 10x = 9(-5 + x) 20 + 10x = (-5 * 9 + x * 9) 20 + 10x = (-45 + 9x) Solving 20 + 10x = -45 + 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 + 10x + -9x = -45 + 9x + -9x Combine like terms: 10x + -9x = 1x 20 + 1x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + 1x = -45 + 0 20 + 1x = -45 Add '-20' to each side of the equation. 20 + -20 + 1x = -45 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = -45 + -20 1x = -45 + -20 Combine like terms: -45 + -20 = -65 1x = -65 Divide each side by '1'. x = -65 Simplifying x = -65
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