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Simplifying x + 3 + -1(1 + -3x) = 8 + 2x x + 3 + (1 * -1 + -3x * -1) = 8 + 2x x + 3 + (-1 + 3x) = 8 + 2x Reorder the terms: 3 + -1 + x + 3x = 8 + 2x Combine like terms: 3 + -1 = 2 2 + x + 3x = 8 + 2x Combine like terms: x + 3x = 4x 2 + 4x = 8 + 2x Solving 2 + 4x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + 4x + -2x = 8 + 2x + -2x Combine like terms: 4x + -2x = 2x 2 + 2x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 2x = 8 + 0 2 + 2x = 8 Add '-2' to each side of the equation. 2 + -2 + 2x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 8 + -2 2x = 8 + -2 Combine like terms: 8 + -2 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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