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Simplifying 10(x + 2) + 2(x + -5) = -4 Reorder the terms: 10(2 + x) + 2(x + -5) = -4 (2 * 10 + x * 10) + 2(x + -5) = -4 (20 + 10x) + 2(x + -5) = -4 Reorder the terms: 20 + 10x + 2(-5 + x) = -4 20 + 10x + (-5 * 2 + x * 2) = -4 20 + 10x + (-10 + 2x) = -4 Reorder the terms: 20 + -10 + 10x + 2x = -4 Combine like terms: 20 + -10 = 10 10 + 10x + 2x = -4 Combine like terms: 10x + 2x = 12x 10 + 12x = -4 Solving 10 + 12x = -4 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 + 12x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = -4 + -10 12x = -4 + -10 Combine like terms: -4 + -10 = -14 12x = -14 Divide each side by '12'. x = -1.166666667 Simplifying x = -1.166666667
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