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Simplifying 2(x + 5) + -4(x + -2) = 0 Reorder the terms: 2(5 + x) + -4(x + -2) = 0 (5 * 2 + x * 2) + -4(x + -2) = 0 (10 + 2x) + -4(x + -2) = 0 Reorder the terms: 10 + 2x + -4(-2 + x) = 0 10 + 2x + (-2 * -4 + x * -4) = 0 10 + 2x + (8 + -4x) = 0 Reorder the terms: 10 + 8 + 2x + -4x = 0 Combine like terms: 10 + 8 = 18 18 + 2x + -4x = 0 Combine like terms: 2x + -4x = -2x 18 + -2x = 0 Solving 18 + -2x = 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 + -2x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 0 + -18 -2x = 0 + -18 Combine like terms: 0 + -18 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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