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Simplifying 4x + 31 = 12x + -33 Reorder the terms: 31 + 4x = 12x + -33 Reorder the terms: 31 + 4x = -33 + 12x Solving 31 + 4x = -33 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 31 + 4x + -12x = -33 + 12x + -12x Combine like terms: 4x + -12x = -8x 31 + -8x = -33 + 12x + -12x Combine like terms: 12x + -12x = 0 31 + -8x = -33 + 0 31 + -8x = -33 Add '-31' to each side of the equation. 31 + -31 + -8x = -33 + -31 Combine like terms: 31 + -31 = 0 0 + -8x = -33 + -31 -8x = -33 + -31 Combine like terms: -33 + -31 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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