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Simplifying -2(x + -5) + 4(2x + 2) = 0 Reorder the terms: -2(-5 + x) + 4(2x + 2) = 0 (-5 * -2 + x * -2) + 4(2x + 2) = 0 (10 + -2x) + 4(2x + 2) = 0 Reorder the terms: 10 + -2x + 4(2 + 2x) = 0 10 + -2x + (2 * 4 + 2x * 4) = 0 10 + -2x + (8 + 8x) = 0 Reorder the terms: 10 + 8 + -2x + 8x = 0 Combine like terms: 10 + 8 = 18 18 + -2x + 8x = 0 Combine like terms: -2x + 8x = 6x 18 + 6x = 0 Solving 18 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 6x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 0 + -18 6x = 0 + -18 Combine like terms: 0 + -18 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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