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Simplifying 2x + -5(4 + -2x) = 8 + 2(2x + -2) 2x + (4 * -5 + -2x * -5) = 8 + 2(2x + -2) 2x + (-20 + 10x) = 8 + 2(2x + -2) Reorder the terms: -20 + 2x + 10x = 8 + 2(2x + -2) Combine like terms: 2x + 10x = 12x -20 + 12x = 8 + 2(2x + -2) Reorder the terms: -20 + 12x = 8 + 2(-2 + 2x) -20 + 12x = 8 + (-2 * 2 + 2x * 2) -20 + 12x = 8 + (-4 + 4x) Combine like terms: 8 + -4 = 4 -20 + 12x = 4 + 4x Solving -20 + 12x = 4 + 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 + 12x + -4x = 4 + 4x + -4x Combine like terms: 12x + -4x = 8x -20 + 8x = 4 + 4x + -4x Combine like terms: 4x + -4x = 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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