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Simplifying 6(3x + 1) = 3(2x + 30) Reorder the terms: 6(1 + 3x) = 3(2x + 30) (1 * 6 + 3x * 6) = 3(2x + 30) (6 + 18x) = 3(2x + 30) Reorder the terms: 6 + 18x = 3(30 + 2x) 6 + 18x = (30 * 3 + 2x * 3) 6 + 18x = (90 + 6x) Solving 6 + 18x = 90 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 18x + -6x = 90 + 6x + -6x Combine like terms: 18x + -6x = 12x 6 + 12x = 90 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 12x = 90 + 0 6 + 12x = 90 Add '-6' to each side of the equation. 6 + -6 + 12x = 90 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 90 + -6 12x = 90 + -6 Combine like terms: 90 + -6 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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