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Simplifying 4(x + 10) + -2(x + -5) = 0 Reorder the terms: 4(10 + x) + -2(x + -5) = 0 (10 * 4 + x * 4) + -2(x + -5) = 0 (40 + 4x) + -2(x + -5) = 0 Reorder the terms: 40 + 4x + -2(-5 + x) = 0 40 + 4x + (-5 * -2 + x * -2) = 0 40 + 4x + (10 + -2x) = 0 Reorder the terms: 40 + 10 + 4x + -2x = 0 Combine like terms: 40 + 10 = 50 50 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x 50 + 2x = 0 Solving 50 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 2x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 2x = 0 + -50 2x = 0 + -50 Combine like terms: 0 + -50 = -50 2x = -50 Divide each side by '2'. x = -25 Simplifying x = -25
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