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Simplifying 6x + 61 = 11x + 14 Reorder the terms: 61 + 6x = 11x + 14 Reorder the terms: 61 + 6x = 14 + 11x Solving 61 + 6x = 14 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 61 + 6x + -11x = 14 + 11x + -11x Combine like terms: 6x + -11x = -5x 61 + -5x = 14 + 11x + -11x Combine like terms: 11x + -11x = 0 61 + -5x = 14 + 0 61 + -5x = 14 Add '-61' to each side of the equation. 61 + -61 + -5x = 14 + -61 Combine like terms: 61 + -61 = 0 0 + -5x = 14 + -61 -5x = 14 + -61 Combine like terms: 14 + -61 = -47 -5x = -47 Divide each side by '-5'. x = 9.4 Simplifying x = 9.4
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