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Simplifying 4(x + 10) + -2(x + 8) = 0 Reorder the terms: 4(10 + x) + -2(x + 8) = 0 (10 * 4 + x * 4) + -2(x + 8) = 0 (40 + 4x) + -2(x + 8) = 0 Reorder the terms: 40 + 4x + -2(8 + x) = 0 40 + 4x + (8 * -2 + x * -2) = 0 40 + 4x + (-16 + -2x) = 0 Reorder the terms: 40 + -16 + 4x + -2x = 0 Combine like terms: 40 + -16 = 24 24 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x 24 + 2x = 0 Solving 24 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 2x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 0 + -24 2x = 0 + -24 Combine like terms: 0 + -24 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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