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Simplifying -1(1 + 8x) + -6(-7 + -1x) = 36 + -1x (1 * -1 + 8x * -1) + -6(-7 + -1x) = 36 + -1x (-1 + -8x) + -6(-7 + -1x) = 36 + -1x -1 + -8x + (-7 * -6 + -1x * -6) = 36 + -1x -1 + -8x + (42 + 6x) = 36 + -1x Reorder the terms: -1 + 42 + -8x + 6x = 36 + -1x Combine like terms: -1 + 42 = 41 41 + -8x + 6x = 36 + -1x Combine like terms: -8x + 6x = -2x 41 + -2x = 36 + -1x Solving 41 + -2x = 36 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 41 + -2x + x = 36 + -1x + x Combine like terms: -2x + x = -1x 41 + -1x = 36 + -1x + x Combine like terms: -1x + x = 0 41 + -1x = 36 + 0 41 + -1x = 36 Add '-41' to each side of the equation. 41 + -41 + -1x = 36 + -41 Combine like terms: 41 + -41 = 0 0 + -1x = 36 + -41 -1x = 36 + -41 Combine like terms: 36 + -41 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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