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