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Simplifying 6x + 10x + 6 = 16 + 14x Reorder the terms: 6 + 6x + 10x = 16 + 14x Combine like terms: 6x + 10x = 16x 6 + 16x = 16 + 14x Solving 6 + 16x = 16 + 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 + 16x + -14x = 16 + 14x + -14x Combine like terms: 16x + -14x = 2x 6 + 2x = 16 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + 2x = 16 + 0 6 + 2x = 16 Add '-6' to each side of the equation. 6 + -6 + 2x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 16 + -6 2x = 16 + -6 Combine like terms: 16 + -6 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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