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Simplifying 12x + -138 + 3x + 114 = 5x + -9 + -2x + -39 Reorder the terms: -138 + 114 + 12x + 3x = 5x + -9 + -2x + -39 Combine like terms: -138 + 114 = -24 -24 + 12x + 3x = 5x + -9 + -2x + -39 Combine like terms: 12x + 3x = 15x -24 + 15x = 5x + -9 + -2x + -39 Reorder the terms: -24 + 15x = -9 + -39 + 5x + -2x Combine like terms: -9 + -39 = -48 -24 + 15x = -48 + 5x + -2x Combine like terms: 5x + -2x = 3x -24 + 15x = -48 + 3x Solving -24 + 15x = -48 + 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. -24 + 15x + -3x = -48 + 3x + -3x Combine like terms: 15x + -3x = 12x -24 + 12x = -48 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 12x = -48 + 0 -24 + 12x = -48 Add '24' to each side of the equation. -24 + 24 + 12x = -48 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = -48 + 24 12x = -48 + 24 Combine like terms: -48 + 24 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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