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Simplifying x + -2(-3x + 1) = 8x + -2 Reorder the terms: x + -2(1 + -3x) = 8x + -2 x + (1 * -2 + -3x * -2) = 8x + -2 x + (-2 + 6x) = 8x + -2 Reorder the terms: -2 + x + 6x = 8x + -2 Combine like terms: x + 6x = 7x -2 + 7x = 8x + -2 Reorder the terms: -2 + 7x = -2 + 8x Add '2' to each side of the equation. -2 + 2 + 7x = -2 + 2 + 8x Combine like terms: -2 + 2 = 0 0 + 7x = -2 + 2 + 8x 7x = -2 + 2 + 8x Combine like terms: -2 + 2 = 0 7x = 0 + 8x 7x = 8x Solving 7x = 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. 7x + -8x = 8x + -8x Combine like terms: 7x + -8x = -1x -1x = 8x + -8x Combine like terms: 8x + -8x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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