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Simplifying 6x + x = 2(1 + 3x) + -2(1 + -1x) Combine like terms: 6x + x = 7x 7x = 2(1 + 3x) + -2(1 + -1x) 7x = (1 * 2 + 3x * 2) + -2(1 + -1x) 7x = (2 + 6x) + -2(1 + -1x) 7x = 2 + 6x + (1 * -2 + -1x * -2) 7x = 2 + 6x + (-2 + 2x) Reorder the terms: 7x = 2 + -2 + 6x + 2x Combine like terms: 2 + -2 = 0 7x = 0 + 6x + 2x 7x = 6x + 2x Combine like terms: 6x + 2x = 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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