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Simplifying x + 3(x + -20) + 2(x + 10) = 440 Reorder the terms: x + 3(-20 + x) + 2(x + 10) = 440 x + (-20 * 3 + x * 3) + 2(x + 10) = 440 x + (-60 + 3x) + 2(x + 10) = 440 Reorder the terms: x + -60 + 3x + 2(10 + x) = 440 x + -60 + 3x + (10 * 2 + x * 2) = 440 x + -60 + 3x + (20 + 2x) = 440 Reorder the terms: -60 + 20 + x + 3x + 2x = 440 Combine like terms: -60 + 20 = -40 -40 + x + 3x + 2x = 440 Combine like terms: x + 3x = 4x -40 + 4x + 2x = 440 Combine like terms: 4x + 2x = 6x -40 + 6x = 440 Solving -40 + 6x = 440 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 6x = 440 + 40 Combine like terms: -40 + 40 = 0 0 + 6x = 440 + 40 6x = 440 + 40 Combine like terms: 440 + 40 = 480 6x = 480 Divide each side by '6'. x = 80 Simplifying x = 80
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