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Simplifying 7(6x + 2) = 10(3x + 5) Reorder the terms: 7(2 + 6x) = 10(3x + 5) (2 * 7 + 6x * 7) = 10(3x + 5) (14 + 42x) = 10(3x + 5) Reorder the terms: 14 + 42x = 10(5 + 3x) 14 + 42x = (5 * 10 + 3x * 10) 14 + 42x = (50 + 30x) Solving 14 + 42x = 50 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 14 + 42x + -30x = 50 + 30x + -30x Combine like terms: 42x + -30x = 12x 14 + 12x = 50 + 30x + -30x Combine like terms: 30x + -30x = 0 14 + 12x = 50 + 0 14 + 12x = 50 Add '-14' to each side of the equation. 14 + -14 + 12x = 50 + -14 Combine like terms: 14 + -14 = 0 0 + 12x = 50 + -14 12x = 50 + -14 Combine like terms: 50 + -14 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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