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Simplifying 4(2x + -5) + -3(x + 2) = -41 Reorder the terms: 4(-5 + 2x) + -3(x + 2) = -41 (-5 * 4 + 2x * 4) + -3(x + 2) = -41 (-20 + 8x) + -3(x + 2) = -41 Reorder the terms: -20 + 8x + -3(2 + x) = -41 -20 + 8x + (2 * -3 + x * -3) = -41 -20 + 8x + (-6 + -3x) = -41 Reorder the terms: -20 + -6 + 8x + -3x = -41 Combine like terms: -20 + -6 = -26 -26 + 8x + -3x = -41 Combine like terms: 8x + -3x = 5x -26 + 5x = -41 Solving -26 + 5x = -41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 5x = -41 + 26 Combine like terms: -26 + 26 = 0 0 + 5x = -41 + 26 5x = -41 + 26 Combine like terms: -41 + 26 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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