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Simplifying x + (x + -4) = (x + 3) + -1(x + 1) Reorder the terms: x + (-4 + x) = (x + 3) + -1(x + 1) Remove parenthesis around (-4 + x) x + -4 + x = (x + 3) + -1(x + 1) Reorder the terms: -4 + x + x = (x + 3) + -1(x + 1) Combine like terms: x + x = 2x -4 + 2x = (x + 3) + -1(x + 1) Reorder the terms: -4 + 2x = (3 + x) + -1(x + 1) Remove parenthesis around (3 + x) -4 + 2x = 3 + x + -1(x + 1) Reorder the terms: -4 + 2x = 3 + x + -1(1 + x) -4 + 2x = 3 + x + (1 * -1 + x * -1) -4 + 2x = 3 + x + (-1 + -1x) Reorder the terms: -4 + 2x = 3 + -1 + x + -1x Combine like terms: 3 + -1 = 2 -4 + 2x = 2 + x + -1x Combine like terms: x + -1x = 0 -4 + 2x = 2 + 0 -4 + 2x = 2 Solving -4 + 2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 2 + 4 2x = 2 + 4 Combine like terms: 2 + 4 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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