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Simplifying 4x + x + 14 = 6x + 9 Reorder the terms: 14 + 4x + x = 6x + 9 Combine like terms: 4x + x = 5x 14 + 5x = 6x + 9 Reorder the terms: 14 + 5x = 9 + 6x Solving 14 + 5x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + 5x + -6x = 9 + 6x + -6x Combine like terms: 5x + -6x = -1x 14 + -1x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -1x = 9 + 0 14 + -1x = 9 Add '-14' to each side of the equation. 14 + -14 + -1x = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 9 + -14 -1x = 9 + -14 Combine like terms: 9 + -14 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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