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Simplifying 6(7x + 5) = 3x + 7 Reorder the terms: 6(5 + 7x) = 3x + 7 (5 * 6 + 7x * 6) = 3x + 7 (30 + 42x) = 3x + 7 Reorder the terms: 30 + 42x = 7 + 3x Solving 30 + 42x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + 42x + -3x = 7 + 3x + -3x Combine like terms: 42x + -3x = 39x 30 + 39x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 39x = 7 + 0 30 + 39x = 7 Add '-30' to each side of the equation. 30 + -30 + 39x = 7 + -30 Combine like terms: 30 + -30 = 0 0 + 39x = 7 + -30 39x = 7 + -30 Combine like terms: 7 + -30 = -23 39x = -23 Divide each side by '39'. x = -0.5897435897 Simplifying x = -0.5897435897
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