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Simplifying 5(3x + 6) + 2(x + 1) = 49 Reorder the terms: 5(6 + 3x) + 2(x + 1) = 49 (6 * 5 + 3x * 5) + 2(x + 1) = 49 (30 + 15x) + 2(x + 1) = 49 Reorder the terms: 30 + 15x + 2(1 + x) = 49 30 + 15x + (1 * 2 + x * 2) = 49 30 + 15x + (2 + 2x) = 49 Reorder the terms: 30 + 2 + 15x + 2x = 49 Combine like terms: 30 + 2 = 32 32 + 15x + 2x = 49 Combine like terms: 15x + 2x = 17x 32 + 17x = 49 Solving 32 + 17x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 17x = 49 + -32 Combine like terms: 32 + -32 = 0 0 + 17x = 49 + -32 17x = 49 + -32 Combine like terms: 49 + -32 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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