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Simplifying 5(2x + -4) = 4(2x + 1) Reorder the terms: 5(-4 + 2x) = 4(2x + 1) (-4 * 5 + 2x * 5) = 4(2x + 1) (-20 + 10x) = 4(2x + 1) Reorder the terms: -20 + 10x = 4(1 + 2x) -20 + 10x = (1 * 4 + 2x * 4) -20 + 10x = (4 + 8x) Solving -20 + 10x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 10x + -8x = 4 + 8x + -8x Combine like terms: 10x + -8x = 2x -20 + 2x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 2x = 4 + 0 -20 + 2x = 4 Add '20' to each side of the equation. -20 + 20 + 2x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 4 + 20 2x = 4 + 20 Combine like terms: 4 + 20 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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