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Simplifying 3x + 5(x + -10) + 2(x + 20) = 890 Reorder the terms: 3x + 5(-10 + x) + 2(x + 20) = 890 3x + (-10 * 5 + x * 5) + 2(x + 20) = 890 3x + (-50 + 5x) + 2(x + 20) = 890 Reorder the terms: 3x + -50 + 5x + 2(20 + x) = 890 3x + -50 + 5x + (20 * 2 + x * 2) = 890 3x + -50 + 5x + (40 + 2x) = 890 Reorder the terms: -50 + 40 + 3x + 5x + 2x = 890 Combine like terms: -50 + 40 = -10 -10 + 3x + 5x + 2x = 890 Combine like terms: 3x + 5x = 8x -10 + 8x + 2x = 890 Combine like terms: 8x + 2x = 10x -10 + 10x = 890 Solving -10 + 10x = 890 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 10x = 890 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 890 + 10 10x = 890 + 10 Combine like terms: 890 + 10 = 900 10x = 900 Divide each side by '10'. x = 90 Simplifying x = 90
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