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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 = 30 30 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x 30 + 2x = 0 Solving 30 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 2x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 0 + -30 2x = 0 + -30 Combine like terms: 0 + -30 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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