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Simplifying 2(x + -5) + -1(x + -2) = 0 Reorder the terms: 2(-5 + x) + -1(x + -2) = 0 (-5 * 2 + x * 2) + -1(x + -2) = 0 (-10 + 2x) + -1(x + -2) = 0 Reorder the terms: -10 + 2x + -1(-2 + x) = 0 -10 + 2x + (-2 * -1 + x * -1) = 0 -10 + 2x + (2 + -1x) = 0 Reorder the terms: -10 + 2 + 2x + -1x = 0 Combine like terms: -10 + 2 = -8 -8 + 2x + -1x = 0 Combine like terms: 2x + -1x = 1x -8 + 1x = 0 Solving -8 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 0 + 8 1x = 0 + 8 Combine like terms: 0 + 8 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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