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Simplifying -7(1 + -1x) + x = -1(6 + -6x) + 6 (1 * -7 + -1x * -7) + x = -1(6 + -6x) + 6 (-7 + 7x) + x = -1(6 + -6x) + 6 Combine like terms: 7x + x = 8x -7 + 8x = -1(6 + -6x) + 6 -7 + 8x = (6 * -1 + -6x * -1) + 6 -7 + 8x = (-6 + 6x) + 6 Reorder the terms: -7 + 8x = -6 + 6 + 6x Combine like terms: -6 + 6 = 0 -7 + 8x = 0 + 6x -7 + 8x = 6x Solving -7 + 8x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + 8x + -6x = 6x + -6x Combine like terms: 8x + -6x = 2x -7 + 2x = 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 2x = 0 Add '7' to each side of the equation. -7 + 7 + 2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 0 + 7 2x = 0 + 7 Combine like terms: 0 + 7 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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