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Simplifying 7(x + 2) + 5(3 + x) = 30 Reorder the terms: 7(2 + x) + 5(3 + x) = 30 (2 * 7 + x * 7) + 5(3 + x) = 30 (14 + 7x) + 5(3 + x) = 30 14 + 7x + (3 * 5 + x * 5) = 30 14 + 7x + (15 + 5x) = 30 Reorder the terms: 14 + 15 + 7x + 5x = 30 Combine like terms: 14 + 15 = 29 29 + 7x + 5x = 30 Combine like terms: 7x + 5x = 12x 29 + 12x = 30 Solving 29 + 12x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 12x = 30 + -29 Combine like terms: 29 + -29 = 0 0 + 12x = 30 + -29 12x = 30 + -29 Combine like terms: 30 + -29 = 1 12x = 1 Divide each side by '12'. x = 0.08333333333 Simplifying x = 0.08333333333
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