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Simplifying 2(x + 1) + -5 = -1(x + -6) + (2x + 2) Reorder the terms: 2(1 + x) + -5 = -1(x + -6) + (2x + 2) (1 * 2 + x * 2) + -5 = -1(x + -6) + (2x + 2) (2 + 2x) + -5 = -1(x + -6) + (2x + 2) Reorder the terms: 2 + -5 + 2x = -1(x + -6) + (2x + 2) Combine like terms: 2 + -5 = -3 -3 + 2x = -1(x + -6) + (2x + 2) Reorder the terms: -3 + 2x = -1(-6 + x) + (2x + 2) -3 + 2x = (-6 * -1 + x * -1) + (2x + 2) -3 + 2x = (6 + -1x) + (2x + 2) Reorder the terms: -3 + 2x = 6 + -1x + (2 + 2x) Remove parenthesis around (2 + 2x) -3 + 2x = 6 + -1x + 2 + 2x Reorder the terms: -3 + 2x = 6 + 2 + -1x + 2x Combine like terms: 6 + 2 = 8 -3 + 2x = 8 + -1x + 2x Combine like terms: -1x + 2x = 1x -3 + 2x = 8 + 1x Solving -3 + 2x = 8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + 2x + -1x = 8 + 1x + -1x Combine like terms: 2x + -1x = 1x -3 + 1x = 8 + 1x + -1x Combine like terms: 1x + -1x = 0 -3 + 1x = 8 + 0 -3 + 1x = 8 Add '3' to each side of the equation. -3 + 3 + 1x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 8 + 3 1x = 8 + 3 Combine like terms: 8 + 3 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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