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Simplifying 5(2x + -1) + 7(2 + 3x) = 16 Reorder the terms: 5(-1 + 2x) + 7(2 + 3x) = 16 (-1 * 5 + 2x * 5) + 7(2 + 3x) = 16 (-5 + 10x) + 7(2 + 3x) = 16 -5 + 10x + (2 * 7 + 3x * 7) = 16 -5 + 10x + (14 + 21x) = 16 Reorder the terms: -5 + 14 + 10x + 21x = 16 Combine like terms: -5 + 14 = 9 9 + 10x + 21x = 16 Combine like terms: 10x + 21x = 31x 9 + 31x = 16 Solving 9 + 31x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 31x = 16 + -9 Combine like terms: 9 + -9 = 0 0 + 31x = 16 + -9 31x = 16 + -9 Combine like terms: 16 + -9 = 7 31x = 7 Divide each side by '31'. x = 0.2258064516 Simplifying x = 0.2258064516
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