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Simplifying -1(8 + -8x) + -1(32 + 7x) + -6 = -1(7 + -7x) + (-1x) + 6 (8 * -1 + -8x * -1) + -1(32 + 7x) + -6 = -1(7 + -7x) + (-1x) + 6 (-8 + 8x) + -1(32 + 7x) + -6 = -1(7 + -7x) + (-1x) + 6 -8 + 8x + (32 * -1 + 7x * -1) + -6 = -1(7 + -7x) + (-1x) + 6 -8 + 8x + (-32 + -7x) + -6 = -1(7 + -7x) + (-1x) + 6 Reorder the terms: -8 + -32 + -6 + 8x + -7x = -1(7 + -7x) + (-1x) + 6 Combine like terms: -8 + -32 = -40 -40 + -6 + 8x + -7x = -1(7 + -7x) + (-1x) + 6 Combine like terms: -40 + -6 = -46 -46 + 8x + -7x = -1(7 + -7x) + (-1x) + 6 Combine like terms: 8x + -7x = 1x -46 + 1x = -1(7 + -7x) + (-1x) + 6 -46 + 1x = (7 * -1 + -7x * -1) + (-1x) + 6 -46 + 1x = (-7 + 7x) + (-1x) + 6 Reorder the terms: -46 + 1x = -7 + 6 + 7x + (-1x) Combine like terms: -7 + 6 = -1 -46 + 1x = -1 + 7x + (-1x) Combine like terms: 7x + (-1x) = 6x -46 + 1x = -1 + 6x Solving -46 + 1x = -1 + 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. -46 + 1x + -6x = -1 + 6x + -6x Combine like terms: 1x + -6x = -5x -46 + -5x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 -46 + -5x = -1 + 0 -46 + -5x = -1 Add '46' to each side of the equation. -46 + 46 + -5x = -1 + 46 Combine like terms: -46 + 46 = 0 0 + -5x = -1 + 46 -5x = -1 + 46 Combine like terms: -1 + 46 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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