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Simplifying 5x + -9x + 14 = 2x + 6 Reorder the terms: 14 + 5x + -9x = 2x + 6 Combine like terms: 5x + -9x = -4x 14 + -4x = 2x + 6 Reorder the terms: 14 + -4x = 6 + 2x Solving 14 + -4x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + -4x + -2x = 6 + 2x + -2x Combine like terms: -4x + -2x = -6x 14 + -6x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -6x = 6 + 0 14 + -6x = 6 Add '-14' to each side of the equation. 14 + -14 + -6x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = 6 + -14 -6x = 6 + -14 Combine like terms: 6 + -14 = -8 -6x = -8 Divide each side by '-6'. x = 1.333333333 Simplifying x = 1.333333333
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