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Simplifying 3(2x + 1) + 2(x + 2) = 35 Reorder the terms: 3(1 + 2x) + 2(x + 2) = 35 (1 * 3 + 2x * 3) + 2(x + 2) = 35 (3 + 6x) + 2(x + 2) = 35 Reorder the terms: 3 + 6x + 2(2 + x) = 35 3 + 6x + (2 * 2 + x * 2) = 35 3 + 6x + (4 + 2x) = 35 Reorder the terms: 3 + 4 + 6x + 2x = 35 Combine like terms: 3 + 4 = 7 7 + 6x + 2x = 35 Combine like terms: 6x + 2x = 8x 7 + 8x = 35 Solving 7 + 8x = 35 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 + 8x = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 35 + -7 8x = 35 + -7 Combine like terms: 35 + -7 = 28 8x = 28 Divide each side by '8'. x = 3.5 Simplifying x = 3.5
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