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Simplifying 4x + 5 = 12x + -31 Reorder the terms: 5 + 4x = 12x + -31 Reorder the terms: 5 + 4x = -31 + 12x Solving 5 + 4x = -31 + 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. 5 + 4x + -12x = -31 + 12x + -12x Combine like terms: 4x + -12x = -8x 5 + -8x = -31 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + -8x = -31 + 0 5 + -8x = -31 Add '-5' to each side of the equation. 5 + -5 + -8x = -31 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = -31 + -5 -8x = -31 + -5 Combine like terms: -31 + -5 = -36 -8x = -36 Divide each side by '-8'. x = 4.5 Simplifying x = 4.5
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