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Simplifying 3x + 19 = 8x + -41 Reorder the terms: 19 + 3x = 8x + -41 Reorder the terms: 19 + 3x = -41 + 8x Solving 19 + 3x = -41 + 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. 19 + 3x + -8x = -41 + 8x + -8x Combine like terms: 3x + -8x = -5x 19 + -5x = -41 + 8x + -8x Combine like terms: 8x + -8x = 0 19 + -5x = -41 + 0 19 + -5x = -41 Add '-19' to each side of the equation. 19 + -19 + -5x = -41 + -19 Combine like terms: 19 + -19 = 0 0 + -5x = -41 + -19 -5x = -41 + -19 Combine like terms: -41 + -19 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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