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Simplifying (3x + 14) + (5x + 1) = 21 Reorder the terms: (14 + 3x) + (5x + 1) = 21 Remove parenthesis around (14 + 3x) 14 + 3x + (5x + 1) = 21 Reorder the terms: 14 + 3x + (1 + 5x) = 21 Remove parenthesis around (1 + 5x) 14 + 3x + 1 + 5x = 21 Reorder the terms: 14 + 1 + 3x + 5x = 21 Combine like terms: 14 + 1 = 15 15 + 3x + 5x = 21 Combine like terms: 3x + 5x = 8x 15 + 8x = 21 Solving 15 + 8x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 8x = 21 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 21 + -15 8x = 21 + -15 Combine like terms: 21 + -15 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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