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Simplifying 12x + 19x + -9 + 2 = -6x + 2 + -9 Reorder the terms: -9 + 2 + 12x + 19x = -6x + 2 + -9 Combine like terms: -9 + 2 = -7 -7 + 12x + 19x = -6x + 2 + -9 Combine like terms: 12x + 19x = 31x -7 + 31x = -6x + 2 + -9 Reorder the terms: -7 + 31x = 2 + -9 + -6x Combine like terms: 2 + -9 = -7 -7 + 31x = -7 + -6x Add '7' to each side of the equation. -7 + 7 + 31x = -7 + 7 + -6x Combine like terms: -7 + 7 = 0 0 + 31x = -7 + 7 + -6x 31x = -7 + 7 + -6x Combine like terms: -7 + 7 = 0 31x = 0 + -6x 31x = -6x Solving 31x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 31x + 6x = -6x + 6x Combine like terms: 31x + 6x = 37x 37x = -6x + 6x Combine like terms: -6x + 6x = 0 37x = 0 Divide each side by '37'. x = 0 Simplifying x = 0
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