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Simplifying 9(x + -8) = 5(x + 20) Reorder the terms: 9(-8 + x) = 5(x + 20) (-8 * 9 + x * 9) = 5(x + 20) (-72 + 9x) = 5(x + 20) Reorder the terms: -72 + 9x = 5(20 + x) -72 + 9x = (20 * 5 + x * 5) -72 + 9x = (100 + 5x) Solving -72 + 9x = 100 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -72 + 9x + -5x = 100 + 5x + -5x Combine like terms: 9x + -5x = 4x -72 + 4x = 100 + 5x + -5x Combine like terms: 5x + -5x = 0 -72 + 4x = 100 + 0 -72 + 4x = 100 Add '72' to each side of the equation. -72 + 72 + 4x = 100 + 72 Combine like terms: -72 + 72 = 0 0 + 4x = 100 + 72 4x = 100 + 72 Combine like terms: 100 + 72 = 172 4x = 172 Divide each side by '4'. x = 43 Simplifying x = 43
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