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Simplifying 4(3x + -2) + 5(x + -5) = 0 Reorder the terms: 4(-2 + 3x) + 5(x + -5) = 0 (-2 * 4 + 3x * 4) + 5(x + -5) = 0 (-8 + 12x) + 5(x + -5) = 0 Reorder the terms: -8 + 12x + 5(-5 + x) = 0 -8 + 12x + (-5 * 5 + x * 5) = 0 -8 + 12x + (-25 + 5x) = 0 Reorder the terms: -8 + -25 + 12x + 5x = 0 Combine like terms: -8 + -25 = -33 -33 + 12x + 5x = 0 Combine like terms: 12x + 5x = 17x -33 + 17x = 0 Solving -33 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 17x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 17x = 0 + 33 17x = 0 + 33 Combine like terms: 0 + 33 = 33 17x = 33 Divide each side by '17'. x = 1.941176471 Simplifying x = 1.941176471
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