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Simplifying 8x + -1(2x + 9) = 8x + -31 Reorder the terms: 8x + -1(9 + 2x) = 8x + -31 8x + (9 * -1 + 2x * -1) = 8x + -31 8x + (-9 + -2x) = 8x + -31 Reorder the terms: -9 + 8x + -2x = 8x + -31 Combine like terms: 8x + -2x = 6x -9 + 6x = 8x + -31 Reorder the terms: -9 + 6x = -31 + 8x Solving -9 + 6x = -31 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -9 + 6x + -8x = -31 + 8x + -8x Combine like terms: 6x + -8x = -2x -9 + -2x = -31 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -2x = -31 + 0 -9 + -2x = -31 Add '9' to each side of the equation. -9 + 9 + -2x = -31 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = -31 + 9 -2x = -31 + 9 Combine like terms: -31 + 9 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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