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Simplifying 2(x + -2) + 10(x + 9) = 0 Reorder the terms: 2(-2 + x) + 10(x + 9) = 0 (-2 * 2 + x * 2) + 10(x + 9) = 0 (-4 + 2x) + 10(x + 9) = 0 Reorder the terms: -4 + 2x + 10(9 + x) = 0 -4 + 2x + (9 * 10 + x * 10) = 0 -4 + 2x + (90 + 10x) = 0 Reorder the terms: -4 + 90 + 2x + 10x = 0 Combine like terms: -4 + 90 = 86 86 + 2x + 10x = 0 Combine like terms: 2x + 10x = 12x 86 + 12x = 0 Solving 86 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-86' to each side of the equation. 86 + -86 + 12x = 0 + -86 Combine like terms: 86 + -86 = 0 0 + 12x = 0 + -86 12x = 0 + -86 Combine like terms: 0 + -86 = -86 12x = -86 Divide each side by '12'. x = -7.166666667 Simplifying x = -7.166666667
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