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Simplifying 2(2x + -4) = 5(-2x + 6) Reorder the terms: 2(-4 + 2x) = 5(-2x + 6) (-4 * 2 + 2x * 2) = 5(-2x + 6) (-8 + 4x) = 5(-2x + 6) Reorder the terms: -8 + 4x = 5(6 + -2x) -8 + 4x = (6 * 5 + -2x * 5) -8 + 4x = (30 + -10x) Solving -8 + 4x = 30 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -8 + 4x + 10x = 30 + -10x + 10x Combine like terms: 4x + 10x = 14x -8 + 14x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 -8 + 14x = 30 + 0 -8 + 14x = 30 Add '8' to each side of the equation. -8 + 8 + 14x = 30 + 8 Combine like terms: -8 + 8 = 0 0 + 14x = 30 + 8 14x = 30 + 8 Combine like terms: 30 + 8 = 38 14x = 38 Divide each side by '14'. x = 2.714285714 Simplifying x = 2.714285714
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