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Simplifying 4(2x + -5) + 3(3x + -8) = 41 Reorder the terms: 4(-5 + 2x) + 3(3x + -8) = 41 (-5 * 4 + 2x * 4) + 3(3x + -8) = 41 (-20 + 8x) + 3(3x + -8) = 41 Reorder the terms: -20 + 8x + 3(-8 + 3x) = 41 -20 + 8x + (-8 * 3 + 3x * 3) = 41 -20 + 8x + (-24 + 9x) = 41 Reorder the terms: -20 + -24 + 8x + 9x = 41 Combine like terms: -20 + -24 = -44 -44 + 8x + 9x = 41 Combine like terms: 8x + 9x = 17x -44 + 17x = 41 Solving -44 + 17x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 17x = 41 + 44 Combine like terms: -44 + 44 = 0 0 + 17x = 41 + 44 17x = 41 + 44 Combine like terms: 41 + 44 = 85 17x = 85 Divide each side by '17'. x = 5 Simplifying x = 5
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