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Simplifying 3x + 10 + 2x + 6 = 14 + 6x Reorder the terms: 10 + 6 + 3x + 2x = 14 + 6x Combine like terms: 10 + 6 = 16 16 + 3x + 2x = 14 + 6x Combine like terms: 3x + 2x = 5x 16 + 5x = 14 + 6x Solving 16 + 5x = 14 + 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. 16 + 5x + -6x = 14 + 6x + -6x Combine like terms: 5x + -6x = -1x 16 + -1x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + -1x = 14 + 0 16 + -1x = 14 Add '-16' to each side of the equation. 16 + -16 + -1x = 14 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 14 + -16 -1x = 14 + -16 Combine like terms: 14 + -16 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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