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Simplifying x + (x + -3) = x + 2 + -1(x + -1) Reorder the terms: x + (-3 + x) = x + 2 + -1(x + -1) Remove parenthesis around (-3 + x) x + -3 + x = x + 2 + -1(x + -1) Reorder the terms: -3 + x + x = x + 2 + -1(x + -1) Combine like terms: x + x = 2x -3 + 2x = x + 2 + -1(x + -1) Reorder the terms: -3 + 2x = x + 2 + -1(-1 + x) -3 + 2x = x + 2 + (-1 * -1 + x * -1) -3 + 2x = x + 2 + (1 + -1x) Reorder the terms: -3 + 2x = 2 + 1 + x + -1x Combine like terms: 2 + 1 = 3 -3 + 2x = 3 + x + -1x Combine like terms: x + -1x = 0 -3 + 2x = 3 + 0 -3 + 2x = 3 Solving -3 + 2x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 3 + 3 2x = 3 + 3 Combine like terms: 3 + 3 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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