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Simplifying x + (x + -4) = (x + 2) + -1(x + -8) Reorder the terms: x + (-4 + x) = (x + 2) + -1(x + -8) Remove parenthesis around (-4 + x) x + -4 + x = (x + 2) + -1(x + -8) Reorder the terms: -4 + x + x = (x + 2) + -1(x + -8) Combine like terms: x + x = 2x -4 + 2x = (x + 2) + -1(x + -8) Reorder the terms: -4 + 2x = (2 + x) + -1(x + -8) Remove parenthesis around (2 + x) -4 + 2x = 2 + x + -1(x + -8) Reorder the terms: -4 + 2x = 2 + x + -1(-8 + x) -4 + 2x = 2 + x + (-8 * -1 + x * -1) -4 + 2x = 2 + x + (8 + -1x) Reorder the terms: -4 + 2x = 2 + 8 + x + -1x Combine like terms: 2 + 8 = 10 -4 + 2x = 10 + x + -1x Combine like terms: x + -1x = 0 -4 + 2x = 10 + 0 -4 + 2x = 10 Solving -4 + 2x = 10 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 = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 10 + 4 2x = 10 + 4 Combine like terms: 10 + 4 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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