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Simplifying 15(3x + 1) + 20(3(3x + 1) + -5) = 875 Reorder the terms: 15(1 + 3x) + 20(3(3x + 1) + -5) = 875 (1 * 15 + 3x * 15) + 20(3(3x + 1) + -5) = 875 (15 + 45x) + 20(3(3x + 1) + -5) = 875 Reorder the terms: 15 + 45x + 20(3(1 + 3x) + -5) = 875 15 + 45x + 20((1 * 3 + 3x * 3) + -5) = 875 15 + 45x + 20((3 + 9x) + -5) = 875 Reorder the terms: 15 + 45x + 20(3 + -5 + 9x) = 875 Combine like terms: 3 + -5 = -2 15 + 45x + 20(-2 + 9x) = 875 15 + 45x + (-2 * 20 + 9x * 20) = 875 15 + 45x + (-40 + 180x) = 875 Reorder the terms: 15 + -40 + 45x + 180x = 875 Combine like terms: 15 + -40 = -25 -25 + 45x + 180x = 875 Combine like terms: 45x + 180x = 225x -25 + 225x = 875 Solving -25 + 225x = 875 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 225x = 875 + 25 Combine like terms: -25 + 25 = 0 0 + 225x = 875 + 25 225x = 875 + 25 Combine like terms: 875 + 25 = 900 225x = 900 Divide each side by '225'. x = 4 Simplifying x = 4
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