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Simplifying 4(2x + 5) + 3(x + 10) = 125 Reorder the terms: 4(5 + 2x) + 3(x + 10) = 125 (5 * 4 + 2x * 4) + 3(x + 10) = 125 (20 + 8x) + 3(x + 10) = 125 Reorder the terms: 20 + 8x + 3(10 + x) = 125 20 + 8x + (10 * 3 + x * 3) = 125 20 + 8x + (30 + 3x) = 125 Reorder the terms: 20 + 30 + 8x + 3x = 125 Combine like terms: 20 + 30 = 50 50 + 8x + 3x = 125 Combine like terms: 8x + 3x = 11x 50 + 11x = 125 Solving 50 + 11x = 125 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 11x = 125 + -50 Combine like terms: 50 + -50 = 0 0 + 11x = 125 + -50 11x = 125 + -50 Combine like terms: 125 + -50 = 75 11x = 75 Divide each side by '11'. x = 6.818181818 Simplifying x = 6.818181818
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