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Simplifying 12x + 19x + -9 + 1 = -7x + 1 + -9 Reorder the terms: -9 + 1 + 12x + 19x = -7x + 1 + -9 Combine like terms: -9 + 1 = -8 -8 + 12x + 19x = -7x + 1 + -9 Combine like terms: 12x + 19x = 31x -8 + 31x = -7x + 1 + -9 Reorder the terms: -8 + 31x = 1 + -9 + -7x Combine like terms: 1 + -9 = -8 -8 + 31x = -8 + -7x Add '8' to each side of the equation. -8 + 8 + 31x = -8 + 8 + -7x Combine like terms: -8 + 8 = 0 0 + 31x = -8 + 8 + -7x 31x = -8 + 8 + -7x Combine like terms: -8 + 8 = 0 31x = 0 + -7x 31x = -7x Solving 31x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 31x + 7x = -7x + 7x Combine like terms: 31x + 7x = 38x 38x = -7x + 7x Combine like terms: -7x + 7x = 0 38x = 0 Divide each side by '38'. x = 0 Simplifying x = 0
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