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Simplifying 4x + 23 = 12x + -31 Reorder the terms: 23 + 4x = 12x + -31 Reorder the terms: 23 + 4x = -31 + 12x Solving 23 + 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. 23 + 4x + -12x = -31 + 12x + -12x Combine like terms: 4x + -12x = -8x 23 + -8x = -31 + 12x + -12x Combine like terms: 12x + -12x = 0 23 + -8x = -31 + 0 23 + -8x = -31 Add '-23' to each side of the equation. 23 + -23 + -8x = -31 + -23 Combine like terms: 23 + -23 = 0 0 + -8x = -31 + -23 -8x = -31 + -23 Combine like terms: -31 + -23 = -54 -8x = -54 Divide each side by '-8'. x = 6.75 Simplifying x = 6.75
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