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Simplifying 3(4x + 7) = 5(7 + -9x) Reorder the terms: 3(7 + 4x) = 5(7 + -9x) (7 * 3 + 4x * 3) = 5(7 + -9x) (21 + 12x) = 5(7 + -9x) 21 + 12x = (7 * 5 + -9x * 5) 21 + 12x = (35 + -45x) Solving 21 + 12x = 35 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 21 + 12x + 45x = 35 + -45x + 45x Combine like terms: 12x + 45x = 57x 21 + 57x = 35 + -45x + 45x Combine like terms: -45x + 45x = 0 21 + 57x = 35 + 0 21 + 57x = 35 Add '-21' to each side of the equation. 21 + -21 + 57x = 35 + -21 Combine like terms: 21 + -21 = 0 0 + 57x = 35 + -21 57x = 35 + -21 Combine like terms: 35 + -21 = 14 57x = 14 Divide each side by '57'. x = 0.2456140351 Simplifying x = 0.2456140351
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