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Simplifying 31x + -27 + 15x + -12 = 43x + 39 + 36 + -16x Reorder the terms: -27 + -12 + 31x + 15x = 43x + 39 + 36 + -16x Combine like terms: -27 + -12 = -39 -39 + 31x + 15x = 43x + 39 + 36 + -16x Combine like terms: 31x + 15x = 46x -39 + 46x = 43x + 39 + 36 + -16x Reorder the terms: -39 + 46x = 39 + 36 + 43x + -16x Combine like terms: 39 + 36 = 75 -39 + 46x = 75 + 43x + -16x Combine like terms: 43x + -16x = 27x -39 + 46x = 75 + 27x Solving -39 + 46x = 75 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -39 + 46x + -27x = 75 + 27x + -27x Combine like terms: 46x + -27x = 19x -39 + 19x = 75 + 27x + -27x Combine like terms: 27x + -27x = 0 -39 + 19x = 75 + 0 -39 + 19x = 75 Add '39' to each side of the equation. -39 + 39 + 19x = 75 + 39 Combine like terms: -39 + 39 = 0 0 + 19x = 75 + 39 19x = 75 + 39 Combine like terms: 75 + 39 = 114 19x = 114 Divide each side by '19'. x = 6 Simplifying x = 6
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