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Simplifying 5(2x + 7) = 3(4 + -7x) Reorder the terms: 5(7 + 2x) = 3(4 + -7x) (7 * 5 + 2x * 5) = 3(4 + -7x) (35 + 10x) = 3(4 + -7x) 35 + 10x = (4 * 3 + -7x * 3) 35 + 10x = (12 + -21x) Solving 35 + 10x = 12 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 35 + 10x + 21x = 12 + -21x + 21x Combine like terms: 10x + 21x = 31x 35 + 31x = 12 + -21x + 21x Combine like terms: -21x + 21x = 0 35 + 31x = 12 + 0 35 + 31x = 12 Add '-35' to each side of the equation. 35 + -35 + 31x = 12 + -35 Combine like terms: 35 + -35 = 0 0 + 31x = 12 + -35 31x = 12 + -35 Combine like terms: 12 + -35 = -23 31x = -23 Divide each side by '31'. x = -0.7419354839 Simplifying x = -0.7419354839
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