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Simplifying 6x + 8 + 4x + 14 = 11x + 13 Reorder the terms: 8 + 14 + 6x + 4x = 11x + 13 Combine like terms: 8 + 14 = 22 22 + 6x + 4x = 11x + 13 Combine like terms: 6x + 4x = 10x 22 + 10x = 11x + 13 Reorder the terms: 22 + 10x = 13 + 11x Solving 22 + 10x = 13 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 22 + 10x + -11x = 13 + 11x + -11x Combine like terms: 10x + -11x = -1x 22 + -1x = 13 + 11x + -11x Combine like terms: 11x + -11x = 0 22 + -1x = 13 + 0 22 + -1x = 13 Add '-22' to each side of the equation. 22 + -22 + -1x = 13 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 13 + -22 -1x = 13 + -22 Combine like terms: 13 + -22 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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