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Simplifying -2(x + 5) + 5(2x + 4) = 0 Reorder the terms: -2(5 + x) + 5(2x + 4) = 0 (5 * -2 + x * -2) + 5(2x + 4) = 0 (-10 + -2x) + 5(2x + 4) = 0 Reorder the terms: -10 + -2x + 5(4 + 2x) = 0 -10 + -2x + (4 * 5 + 2x * 5) = 0 -10 + -2x + (20 + 10x) = 0 Reorder the terms: -10 + 20 + -2x + 10x = 0 Combine like terms: -10 + 20 = 10 10 + -2x + 10x = 0 Combine like terms: -2x + 10x = 8x 10 + 8x = 0 Solving 10 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 8x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 0 + -10 8x = 0 + -10 Combine like terms: 0 + -10 = -10 8x = -10 Divide each side by '8'. x = -1.25 Simplifying x = -1.25
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