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Simplifying 3(6x + 2) + 4(5x + 3) = 170 Reorder the terms: 3(2 + 6x) + 4(5x + 3) = 170 (2 * 3 + 6x * 3) + 4(5x + 3) = 170 (6 + 18x) + 4(5x + 3) = 170 Reorder the terms: 6 + 18x + 4(3 + 5x) = 170 6 + 18x + (3 * 4 + 5x * 4) = 170 6 + 18x + (12 + 20x) = 170 Reorder the terms: 6 + 12 + 18x + 20x = 170 Combine like terms: 6 + 12 = 18 18 + 18x + 20x = 170 Combine like terms: 18x + 20x = 38x 18 + 38x = 170 Solving 18 + 38x = 170 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 38x = 170 + -18 Combine like terms: 18 + -18 = 0 0 + 38x = 170 + -18 38x = 170 + -18 Combine like terms: 170 + -18 = 152 38x = 152 Divide each side by '38'. x = 4 Simplifying x = 4
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