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Simplifying 8x + -1(7x + 6) = 2x + -31 Reorder the terms: 8x + -1(6 + 7x) = 2x + -31 8x + (6 * -1 + 7x * -1) = 2x + -31 8x + (-6 + -7x) = 2x + -31 Reorder the terms: -6 + 8x + -7x = 2x + -31 Combine like terms: 8x + -7x = 1x -6 + 1x = 2x + -31 Reorder the terms: -6 + 1x = -31 + 2x Solving -6 + 1x = -31 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 1x + -2x = -31 + 2x + -2x Combine like terms: 1x + -2x = -1x -6 + -1x = -31 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -1x = -31 + 0 -6 + -1x = -31 Add '6' to each side of the equation. -6 + 6 + -1x = -31 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -31 + 6 -1x = -31 + 6 Combine like terms: -31 + 6 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25
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