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Simplifying 5(2x + 1) + 2(x + 1) = 19 Reorder the terms: 5(1 + 2x) + 2(x + 1) = 19 (1 * 5 + 2x * 5) + 2(x + 1) = 19 (5 + 10x) + 2(x + 1) = 19 Reorder the terms: 5 + 10x + 2(1 + x) = 19 5 + 10x + (1 * 2 + x * 2) = 19 5 + 10x + (2 + 2x) = 19 Reorder the terms: 5 + 2 + 10x + 2x = 19 Combine like terms: 5 + 2 = 7 7 + 10x + 2x = 19 Combine like terms: 10x + 2x = 12x 7 + 12x = 19 Solving 7 + 12x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 12x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = 19 + -7 12x = 19 + -7 Combine like terms: 19 + -7 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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