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Simplifying x + -2(x + -5) = 10 + -1(2x + 4) Reorder the terms: x + -2(-5 + x) = 10 + -1(2x + 4) x + (-5 * -2 + x * -2) = 10 + -1(2x + 4) x + (10 + -2x) = 10 + -1(2x + 4) Reorder the terms: 10 + x + -2x = 10 + -1(2x + 4) Combine like terms: x + -2x = -1x 10 + -1x = 10 + -1(2x + 4) Reorder the terms: 10 + -1x = 10 + -1(4 + 2x) 10 + -1x = 10 + (4 * -1 + 2x * -1) 10 + -1x = 10 + (-4 + -2x) Combine like terms: 10 + -4 = 6 10 + -1x = 6 + -2x Solving 10 + -1x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + -1x + 2x = 6 + -2x + 2x Combine like terms: -1x + 2x = 1x 10 + 1x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 1x = 6 + 0 10 + 1x = 6 Add '-10' to each side of the equation. 10 + -10 + 1x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 6 + -10 1x = 6 + -10 Combine like terms: 6 + -10 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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