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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 = (2 + x) + -1(x + 1) Remove parenthesis around (2 + x) -3 + 2x = 2 + x + -1(x + 1) Reorder the terms: -3 + 2x = 2 + x + -1(1 + x) -3 + 2x = 2 + x + (1 * -1 + x * -1) -3 + 2x = 2 + x + (-1 + -1x) Reorder the terms: -3 + 2x = 2 + -1 + x + -1x Combine like terms: 2 + -1 = 1 -3 + 2x = 1 + x + -1x Combine like terms: x + -1x = 0 -3 + 2x = 1 + 0 -3 + 2x = 1 Solving -3 + 2x = 1 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 = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 1 + 3 2x = 1 + 3 Combine like terms: 1 + 3 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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