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Simplifying 3x + 61 = 8x + 6 Reorder the terms: 61 + 3x = 8x + 6 Reorder the terms: 61 + 3x = 6 + 8x Solving 61 + 3x = 6 + 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. 61 + 3x + -8x = 6 + 8x + -8x Combine like terms: 3x + -8x = -5x 61 + -5x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 61 + -5x = 6 + 0 61 + -5x = 6 Add '-61' to each side of the equation. 61 + -61 + -5x = 6 + -61 Combine like terms: 61 + -61 = 0 0 + -5x = 6 + -61 -5x = 6 + -61 Combine like terms: 6 + -61 = -55 -5x = -55 Divide each side by '-5'. x = 11 Simplifying x = 11
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