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Simplifying 8x + -7(-1x + -7) = 6x + 40 Reorder the terms: 8x + -7(-7 + -1x) = 6x + 40 8x + (-7 * -7 + -1x * -7) = 6x + 40 8x + (49 + 7x) = 6x + 40 Reorder the terms: 49 + 8x + 7x = 6x + 40 Combine like terms: 8x + 7x = 15x 49 + 15x = 6x + 40 Reorder the terms: 49 + 15x = 40 + 6x Solving 49 + 15x = 40 + 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. 49 + 15x + -6x = 40 + 6x + -6x Combine like terms: 15x + -6x = 9x 49 + 9x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 49 + 9x = 40 + 0 49 + 9x = 40 Add '-49' to each side of the equation. 49 + -49 + 9x = 40 + -49 Combine like terms: 49 + -49 = 0 0 + 9x = 40 + -49 9x = 40 + -49 Combine like terms: 40 + -49 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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