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Simplifying 5(2x + -4) = 2(x + 2) Reorder the terms: 5(-4 + 2x) = 2(x + 2) (-4 * 5 + 2x * 5) = 2(x + 2) (-20 + 10x) = 2(x + 2) Reorder the terms: -20 + 10x = 2(2 + x) -20 + 10x = (2 * 2 + x * 2) -20 + 10x = (4 + 2x) Solving -20 + 10x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 10x + -2x = 4 + 2x + -2x Combine like terms: 10x + -2x = 8x -20 + 8x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 8x = 4 + 0 -20 + 8x = 4 Add '20' to each side of the equation. -20 + 20 + 8x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 4 + 20 8x = 4 + 20 Combine like terms: 4 + 20 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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