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Simplifying 8x + 14 = 15x + -46 Reorder the terms: 14 + 8x = 15x + -46 Reorder the terms: 14 + 8x = -46 + 15x Solving 14 + 8x = -46 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 14 + 8x + -15x = -46 + 15x + -15x Combine like terms: 8x + -15x = -7x 14 + -7x = -46 + 15x + -15x Combine like terms: 15x + -15x = 0 14 + -7x = -46 + 0 14 + -7x = -46 Add '-14' to each side of the equation. 14 + -14 + -7x = -46 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = -46 + -14 -7x = -46 + -14 Combine like terms: -46 + -14 = -60 -7x = -60 Divide each side by '-7'. x = 8.571428571 Simplifying x = 8.571428571
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