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Simplifying 4(3x + 25) + 5(x + 31) = 340 Reorder the terms: 4(25 + 3x) + 5(x + 31) = 340 (25 * 4 + 3x * 4) + 5(x + 31) = 340 (100 + 12x) + 5(x + 31) = 340 Reorder the terms: 100 + 12x + 5(31 + x) = 340 100 + 12x + (31 * 5 + x * 5) = 340 100 + 12x + (155 + 5x) = 340 Reorder the terms: 100 + 155 + 12x + 5x = 340 Combine like terms: 100 + 155 = 255 255 + 12x + 5x = 340 Combine like terms: 12x + 5x = 17x 255 + 17x = 340 Solving 255 + 17x = 340 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-255' to each side of the equation. 255 + -255 + 17x = 340 + -255 Combine like terms: 255 + -255 = 0 0 + 17x = 340 + -255 17x = 340 + -255 Combine like terms: 340 + -255 = 85 17x = 85 Divide each side by '17'. x = 5 Simplifying x = 5
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