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Simplifying 7(x + 3) = 5(x + 4) Reorder the terms: 7(3 + x) = 5(x + 4) (3 * 7 + x * 7) = 5(x + 4) (21 + 7x) = 5(x + 4) Reorder the terms: 21 + 7x = 5(4 + x) 21 + 7x = (4 * 5 + x * 5) 21 + 7x = (20 + 5x) Solving 21 + 7x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 21 + 7x + -5x = 20 + 5x + -5x Combine like terms: 7x + -5x = 2x 21 + 2x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + 2x = 20 + 0 21 + 2x = 20 Add '-21' to each side of the equation. 21 + -21 + 2x = 20 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 20 + -21 2x = 20 + -21 Combine like terms: 20 + -21 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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