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Simplifying 5x + 46 = 14x + -10 Reorder the terms: 46 + 5x = 14x + -10 Reorder the terms: 46 + 5x = -10 + 14x Solving 46 + 5x = -10 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 46 + 5x + -14x = -10 + 14x + -14x Combine like terms: 5x + -14x = -9x 46 + -9x = -10 + 14x + -14x Combine like terms: 14x + -14x = 0 46 + -9x = -10 + 0 46 + -9x = -10 Add '-46' to each side of the equation. 46 + -46 + -9x = -10 + -46 Combine like terms: 46 + -46 = 0 0 + -9x = -10 + -46 -9x = -10 + -46 Combine like terms: -10 + -46 = -56 -9x = -56 Divide each side by '-9'. x = 6.222222222 Simplifying x = 6.222222222
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