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Simplifying -7(-1x + -6) = 38 + 8x Reorder the terms: -7(-6 + -1x) = 38 + 8x (-6 * -7 + -1x * -7) = 38 + 8x (42 + 7x) = 38 + 8x Solving 42 + 7x = 38 + 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. 42 + 7x + -8x = 38 + 8x + -8x Combine like terms: 7x + -8x = -1x 42 + -1x = 38 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + -1x = 38 + 0 42 + -1x = 38 Add '-42' to each side of the equation. 42 + -42 + -1x = 38 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 38 + -42 -1x = 38 + -42 Combine like terms: 38 + -42 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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