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Simplifying 8x + -1(7x + 7) = 5x + -31 Reorder the terms: 8x + -1(7 + 7x) = 5x + -31 8x + (7 * -1 + 7x * -1) = 5x + -31 8x + (-7 + -7x) = 5x + -31 Reorder the terms: -7 + 8x + -7x = 5x + -31 Combine like terms: 8x + -7x = 1x -7 + 1x = 5x + -31 Reorder the terms: -7 + 1x = -31 + 5x Solving -7 + 1x = -31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 1x + -5x = -31 + 5x + -5x Combine like terms: 1x + -5x = -4x -7 + -4x = -31 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -4x = -31 + 0 -7 + -4x = -31 Add '7' to each side of the equation. -7 + 7 + -4x = -31 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -31 + 7 -4x = -31 + 7 Combine like terms: -31 + 7 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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