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Simplifying 5(2x + 1) + 2(x + 4) = 14 Reorder the terms: 5(1 + 2x) + 2(x + 4) = 14 (1 * 5 + 2x * 5) + 2(x + 4) = 14 (5 + 10x) + 2(x + 4) = 14 Reorder the terms: 5 + 10x + 2(4 + x) = 14 5 + 10x + (4 * 2 + x * 2) = 14 5 + 10x + (8 + 2x) = 14 Reorder the terms: 5 + 8 + 10x + 2x = 14 Combine like terms: 5 + 8 = 13 13 + 10x + 2x = 14 Combine like terms: 10x + 2x = 12x 13 + 12x = 14 Solving 13 + 12x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 12x = 14 + -13 Combine like terms: 13 + -13 = 0 0 + 12x = 14 + -13 12x = 14 + -13 Combine like terms: 14 + -13 = 1 12x = 1 Divide each side by '12'. x = 0.08333333333 Simplifying x = 0.08333333333
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