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Simplifying 6 + -2x = 5x + 9x + 14 Reorder the terms: 6 + -2x = 14 + 5x + 9x Combine like terms: 5x + 9x = 14x 6 + -2x = 14 + 14x Solving 6 + -2x = 14 + 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. 6 + -2x + -14x = 14 + 14x + -14x Combine like terms: -2x + -14x = -16x 6 + -16x = 14 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + -16x = 14 + 0 6 + -16x = 14 Add '-6' to each side of the equation. 6 + -6 + -16x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -16x = 14 + -6 -16x = 14 + -6 Combine like terms: 14 + -6 = 8 -16x = 8 Divide each side by '-16'. x = -0.5 Simplifying x = -0.5
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