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Simplifying -8(-1x + -5) + -6 = 6 + x Reorder the terms: -8(-5 + -1x) + -6 = 6 + x (-5 * -8 + -1x * -8) + -6 = 6 + x (40 + 8x) + -6 = 6 + x Reorder the terms: 40 + -6 + 8x = 6 + x Combine like terms: 40 + -6 = 34 34 + 8x = 6 + x Solving 34 + 8x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 34 + 8x + -1x = 6 + x + -1x Combine like terms: 8x + -1x = 7x 34 + 7x = 6 + x + -1x Combine like terms: x + -1x = 0 34 + 7x = 6 + 0 34 + 7x = 6 Add '-34' to each side of the equation. 34 + -34 + 7x = 6 + -34 Combine like terms: 34 + -34 = 0 0 + 7x = 6 + -34 7x = 6 + -34 Combine like terms: 6 + -34 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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