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Simplifying -2(1 + -7x) + 6(1 + -1x) = 8x + x (1 * -2 + -7x * -2) + 6(1 + -1x) = 8x + x (-2 + 14x) + 6(1 + -1x) = 8x + x -2 + 14x + (1 * 6 + -1x * 6) = 8x + x -2 + 14x + (6 + -6x) = 8x + x Reorder the terms: -2 + 6 + 14x + -6x = 8x + x Combine like terms: -2 + 6 = 4 4 + 14x + -6x = 8x + x Combine like terms: 14x + -6x = 8x 4 + 8x = 8x + x Combine like terms: 8x + x = 9x 4 + 8x = 9x Solving 4 + 8x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 8x + -9x = 9x + -9x Combine like terms: 8x + -9x = -1x 4 + -1x = 9x + -9x Combine like terms: 9x + -9x = 0 4 + -1x = 0 Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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