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Simplifying -6(2 + 5x) + 8x = -31 + -3x (2 * -6 + 5x * -6) + 8x = -31 + -3x (-12 + -30x) + 8x = -31 + -3x Combine like terms: -30x + 8x = -22x -12 + -22x = -31 + -3x Solving -12 + -22x = -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. -12 + -22x + 3x = -31 + -3x + 3x Combine like terms: -22x + 3x = -19x -12 + -19x = -31 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + -19x = -31 + 0 -12 + -19x = -31 Add '12' to each side of the equation. -12 + 12 + -19x = -31 + 12 Combine like terms: -12 + 12 = 0 0 + -19x = -31 + 12 -19x = -31 + 12 Combine like terms: -31 + 12 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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