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Simplifying 12x + 19x + -8 + 1 = -8x + 1 + -8 Reorder the terms: -8 + 1 + 12x + 19x = -8x + 1 + -8 Combine like terms: -8 + 1 = -7 -7 + 12x + 19x = -8x + 1 + -8 Combine like terms: 12x + 19x = 31x -7 + 31x = -8x + 1 + -8 Reorder the terms: -7 + 31x = 1 + -8 + -8x Combine like terms: 1 + -8 = -7 -7 + 31x = -7 + -8x Add '7' to each side of the equation. -7 + 7 + 31x = -7 + 7 + -8x Combine like terms: -7 + 7 = 0 0 + 31x = -7 + 7 + -8x 31x = -7 + 7 + -8x Combine like terms: -7 + 7 = 0 31x = 0 + -8x 31x = -8x Solving 31x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 31x + 8x = -8x + 8x Combine like terms: 31x + 8x = 39x 39x = -8x + 8x Combine like terms: -8x + 8x = 0 39x = 0 Divide each side by '39'. x = 0 Simplifying x = 0
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