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Simplifying 8x + 9 + 5x + 12 = 14x + 10 Reorder the terms: 9 + 12 + 8x + 5x = 14x + 10 Combine like terms: 9 + 12 = 21 21 + 8x + 5x = 14x + 10 Combine like terms: 8x + 5x = 13x 21 + 13x = 14x + 10 Reorder the terms: 21 + 13x = 10 + 14x Solving 21 + 13x = 10 + 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. 21 + 13x + -14x = 10 + 14x + -14x Combine like terms: 13x + -14x = -1x 21 + -1x = 10 + 14x + -14x Combine like terms: 14x + -14x = 0 21 + -1x = 10 + 0 21 + -1x = 10 Add '-21' to each side of the equation. 21 + -21 + -1x = 10 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 10 + -21 -1x = 10 + -21 Combine like terms: 10 + -21 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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