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Simplifying 5(2x + -4) = 9(x + 2) Reorder the terms: 5(-4 + 2x) = 9(x + 2) (-4 * 5 + 2x * 5) = 9(x + 2) (-20 + 10x) = 9(x + 2) Reorder the terms: -20 + 10x = 9(2 + x) -20 + 10x = (2 * 9 + x * 9) -20 + 10x = (18 + 9x) Solving -20 + 10x = 18 + 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 = 18 + 9x + -9x Combine like terms: 10x + -9x = 1x -20 + 1x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -20 + 1x = 18 + 0 -20 + 1x = 18 Add '20' to each side of the equation. -20 + 20 + 1x = 18 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 18 + 20 1x = 18 + 20 Combine like terms: 18 + 20 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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