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Simplifying 3(6x + 7) = 6(x + 7) Reorder the terms: 3(7 + 6x) = 6(x + 7) (7 * 3 + 6x * 3) = 6(x + 7) (21 + 18x) = 6(x + 7) Reorder the terms: 21 + 18x = 6(7 + x) 21 + 18x = (7 * 6 + x * 6) 21 + 18x = (42 + 6x) Solving 21 + 18x = 42 + 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. 21 + 18x + -6x = 42 + 6x + -6x Combine like terms: 18x + -6x = 12x 21 + 12x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + 12x = 42 + 0 21 + 12x = 42 Add '-21' to each side of the equation. 21 + -21 + 12x = 42 + -21 Combine like terms: 21 + -21 = 0 0 + 12x = 42 + -21 12x = 42 + -21 Combine like terms: 42 + -21 = 21 12x = 21 Divide each side by '12'. x = 1.75 Simplifying x = 1.75
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