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