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Simplifying 14x + 27 = -1x + 61 Reorder the terms: 27 + 14x = -1x + 61 Reorder the terms: 27 + 14x = 61 + -1x Solving 27 + 14x = 61 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 27 + 14x + x = 61 + -1x + x Combine like terms: 14x + x = 15x 27 + 15x = 61 + -1x + x Combine like terms: -1x + x = 0 27 + 15x = 61 + 0 27 + 15x = 61 Add '-27' to each side of the equation. 27 + -27 + 15x = 61 + -27 Combine like terms: 27 + -27 = 0 0 + 15x = 61 + -27 15x = 61 + -27 Combine like terms: 61 + -27 = 34 15x = 34 Divide each side by '15'. x = 2.266666667 Simplifying x = 2.266666667
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