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Simplifying -31 + 7x = -8(1 + -3x) + -6 -31 + 7x = (1 * -8 + -3x * -8) + -6 -31 + 7x = (-8 + 24x) + -6 Reorder the terms: -31 + 7x = -8 + -6 + 24x Combine like terms: -8 + -6 = -14 -31 + 7x = -14 + 24x Solving -31 + 7x = -14 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -31 + 7x + -24x = -14 + 24x + -24x Combine like terms: 7x + -24x = -17x -31 + -17x = -14 + 24x + -24x Combine like terms: 24x + -24x = 0 -31 + -17x = -14 + 0 -31 + -17x = -14 Add '31' to each side of the equation. -31 + 31 + -17x = -14 + 31 Combine like terms: -31 + 31 = 0 0 + -17x = -14 + 31 -17x = -14 + 31 Combine like terms: -14 + 31 = 17 -17x = 17 Divide each side by '-17'. x = -1 Simplifying x = -1
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