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Simplifying 14x + -17 + 13x + 6 = 18x + 16 Reorder the terms: -17 + 6 + 14x + 13x = 18x + 16 Combine like terms: -17 + 6 = -11 -11 + 14x + 13x = 18x + 16 Combine like terms: 14x + 13x = 27x -11 + 27x = 18x + 16 Reorder the terms: -11 + 27x = 16 + 18x Solving -11 + 27x = 16 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -11 + 27x + -18x = 16 + 18x + -18x Combine like terms: 27x + -18x = 9x -11 + 9x = 16 + 18x + -18x Combine like terms: 18x + -18x = 0 -11 + 9x = 16 + 0 -11 + 9x = 16 Add '11' to each side of the equation. -11 + 11 + 9x = 16 + 11 Combine like terms: -11 + 11 = 0 0 + 9x = 16 + 11 9x = 16 + 11 Combine like terms: 16 + 11 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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