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Simplifying x + (x + -2) = (x + 5) + -1(x + 3) Reorder the terms: x + (-2 + x) = (x + 5) + -1(x + 3) Remove parenthesis around (-2 + x) x + -2 + x = (x + 5) + -1(x + 3) Reorder the terms: -2 + x + x = (x + 5) + -1(x + 3) Combine like terms: x + x = 2x -2 + 2x = (x + 5) + -1(x + 3) Reorder the terms: -2 + 2x = (5 + x) + -1(x + 3) Remove parenthesis around (5 + x) -2 + 2x = 5 + x + -1(x + 3) Reorder the terms: -2 + 2x = 5 + x + -1(3 + x) -2 + 2x = 5 + x + (3 * -1 + x * -1) -2 + 2x = 5 + x + (-3 + -1x) Reorder the terms: -2 + 2x = 5 + -3 + x + -1x Combine like terms: 5 + -3 = 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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