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Simplifying 2x + -2 = x + -3 + -1(x + -5) Reorder the terms: -2 + 2x = x + -3 + -1(x + -5) Reorder the terms: -2 + 2x = x + -3 + -1(-5 + x) -2 + 2x = x + -3 + (-5 * -1 + x * -1) -2 + 2x = x + -3 + (5 + -1x) Reorder the terms: -2 + 2x = -3 + 5 + x + -1x Combine like terms: -3 + 5 = 2 -2 + 2x = 2 + x + -1x Combine like terms: x + -1x = 0 -2 + 2x = 2 + 0 -2 + 2x = 2 Solving -2 + 2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 2 + 2 2x = 2 + 2 Combine like terms: 2 + 2 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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