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Simplifying 4x + 27 = 10x + 14 Reorder the terms: 27 + 4x = 10x + 14 Reorder the terms: 27 + 4x = 14 + 10x Solving 27 + 4x = 14 + 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. 27 + 4x + -10x = 14 + 10x + -10x Combine like terms: 4x + -10x = -6x 27 + -6x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 27 + -6x = 14 + 0 27 + -6x = 14 Add '-27' to each side of the equation. 27 + -27 + -6x = 14 + -27 Combine like terms: 27 + -27 = 0 0 + -6x = 14 + -27 -6x = 14 + -27 Combine like terms: 14 + -27 = -13 -6x = -13 Divide each side by '-6'. x = 2.166666667 Simplifying x = 2.166666667
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