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Simplifying 6(1 + -8x) + 8 = -31 + -3x (1 * 6 + -8x * 6) + 8 = -31 + -3x (6 + -48x) + 8 = -31 + -3x Reorder the terms: 6 + 8 + -48x = -31 + -3x Combine like terms: 6 + 8 = 14 14 + -48x = -31 + -3x Solving 14 + -48x = -31 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 14 + -48x + 3x = -31 + -3x + 3x Combine like terms: -48x + 3x = -45x 14 + -45x = -31 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + -45x = -31 + 0 14 + -45x = -31 Add '-14' to each side of the equation. 14 + -14 + -45x = -31 + -14 Combine like terms: 14 + -14 = 0 0 + -45x = -31 + -14 -45x = -31 + -14 Combine like terms: -31 + -14 = -45 -45x = -45 Divide each side by '-45'. x = 1 Simplifying x = 1
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