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Simplifying 20(3x + 24) + 20(x + 26) = 20(15) Reorder the terms: 20(24 + 3x) + 20(x + 26) = 20(15) (24 * 20 + 3x * 20) + 20(x + 26) = 20(15) (480 + 60x) + 20(x + 26) = 20(15) Reorder the terms: 480 + 60x + 20(26 + x) = 20(15) 480 + 60x + (26 * 20 + x * 20) = 20(15) 480 + 60x + (520 + 20x) = 20(15) Reorder the terms: 480 + 520 + 60x + 20x = 20(15) Combine like terms: 480 + 520 = 1000 1000 + 60x + 20x = 20(15) Combine like terms: 60x + 20x = 80x 1000 + 80x = 20(15) Multiply 20 * 15 1000 + 80x = 300 Solving 1000 + 80x = 300 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + -1000 + 80x = 300 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 80x = 300 + -1000 80x = 300 + -1000 Combine like terms: 300 + -1000 = -700 80x = -700 Divide each side by '80'. x = -8.75 Simplifying x = -8.75
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