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Simplifying 2(4x + -2) = 5(2x + 4) Reorder the terms: 2(-2 + 4x) = 5(2x + 4) (-2 * 2 + 4x * 2) = 5(2x + 4) (-4 + 8x) = 5(2x + 4) Reorder the terms: -4 + 8x = 5(4 + 2x) -4 + 8x = (4 * 5 + 2x * 5) -4 + 8x = (20 + 10x) Solving -4 + 8x = 20 + 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. -4 + 8x + -10x = 20 + 10x + -10x Combine like terms: 8x + -10x = -2x -4 + -2x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + -2x = 20 + 0 -4 + -2x = 20 Add '4' to each side of the equation. -4 + 4 + -2x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 20 + 4 -2x = 20 + 4 Combine like terms: 20 + 4 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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