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Simplifying 30x = (x + 14) + (x + 17) + (8x + 9) Reorder the terms: 30x = (14 + x) + (x + 17) + (8x + 9) Remove parenthesis around (14 + x) 30x = 14 + x + (x + 17) + (8x + 9) Reorder the terms: 30x = 14 + x + (17 + x) + (8x + 9) Remove parenthesis around (17 + x) 30x = 14 + x + 17 + x + (8x + 9) Reorder the terms: 30x = 14 + x + 17 + x + (9 + 8x) Remove parenthesis around (9 + 8x) 30x = 14 + x + 17 + x + 9 + 8x Reorder the terms: 30x = 14 + 17 + 9 + x + x + 8x Combine like terms: 14 + 17 = 31 30x = 31 + 9 + x + x + 8x Combine like terms: 31 + 9 = 40 30x = 40 + x + x + 8x Combine like terms: x + x = 2x 30x = 40 + 2x + 8x Combine like terms: 2x + 8x = 10x 30x = 40 + 10x Solving 30x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 30x + -10x = 40 + 10x + -10x Combine like terms: 30x + -10x = 20x 20x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 20x = 40 + 0 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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