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Simplifying -1 + 3x = 2 + 8(1 + -1x) -1 + 3x = 2 + (1 * 8 + -1x * 8) -1 + 3x = 2 + (8 + -8x) Combine like terms: 2 + 8 = 10 -1 + 3x = 10 + -8x Solving -1 + 3x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -1 + 3x + 8x = 10 + -8x + 8x Combine like terms: 3x + 8x = 11x -1 + 11x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 -1 + 11x = 10 + 0 -1 + 11x = 10 Add '1' to each side of the equation. -1 + 1 + 11x = 10 + 1 Combine like terms: -1 + 1 = 0 0 + 11x = 10 + 1 11x = 10 + 1 Combine like terms: 10 + 1 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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