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Simplifying 5(2x + -4) = -4(x + -2) Reorder the terms: 5(-4 + 2x) = -4(x + -2) (-4 * 5 + 2x * 5) = -4(x + -2) (-20 + 10x) = -4(x + -2) Reorder the terms: -20 + 10x = -4(-2 + x) -20 + 10x = (-2 * -4 + x * -4) -20 + 10x = (8 + -4x) Solving -20 + 10x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -20 + 10x + 4x = 8 + -4x + 4x Combine like terms: 10x + 4x = 14x -20 + 14x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -20 + 14x = 8 + 0 -20 + 14x = 8 Add '20' to each side of the equation. -20 + 20 + 14x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 14x = 8 + 20 14x = 8 + 20 Combine like terms: 8 + 20 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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