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Simplifying 8x + -1(5x + 2) = 4x + -31 Reorder the terms: 8x + -1(2 + 5x) = 4x + -31 8x + (2 * -1 + 5x * -1) = 4x + -31 8x + (-2 + -5x) = 4x + -31 Reorder the terms: -2 + 8x + -5x = 4x + -31 Combine like terms: 8x + -5x = 3x -2 + 3x = 4x + -31 Reorder the terms: -2 + 3x = -31 + 4x Solving -2 + 3x = -31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 3x + -4x = -31 + 4x + -4x Combine like terms: 3x + -4x = -1x -2 + -1x = -31 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -1x = -31 + 0 -2 + -1x = -31 Add '2' to each side of the equation. -2 + 2 + -1x = -31 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -31 + 2 -1x = -31 + 2 Combine like terms: -31 + 2 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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