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Simplifying 4x + 14 = -27 + 10x Reorder the terms: 14 + 4x = -27 + 10x Solving 14 + 4x = -27 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 14 + 4x + -10x = -27 + 10x + -10x Combine like terms: 4x + -10x = -6x 14 + -6x = -27 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + -6x = -27 + 0 14 + -6x = -27 Add '-14' to each side of the equation. 14 + -14 + -6x = -27 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = -27 + -14 -6x = -27 + -14 Combine like terms: -27 + -14 = -41 -6x = -41 Divide each side by '-6'. x = 6.833333333 Simplifying x = 6.833333333
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