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Simplifying 8x + -19 = -12x + 61 Reorder the terms: -19 + 8x = -12x + 61 Reorder the terms: -19 + 8x = 61 + -12x Solving -19 + 8x = 61 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -19 + 8x + 12x = 61 + -12x + 12x Combine like terms: 8x + 12x = 20x -19 + 20x = 61 + -12x + 12x Combine like terms: -12x + 12x = 0 -19 + 20x = 61 + 0 -19 + 20x = 61 Add '19' to each side of the equation. -19 + 19 + 20x = 61 + 19 Combine like terms: -19 + 19 = 0 0 + 20x = 61 + 19 20x = 61 + 19 Combine like terms: 61 + 19 = 80 20x = 80 Divide each side by '20'. x = 4 Simplifying x = 4
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