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Simplifying 4(3x + -1) + -1(x + 5) = 24 Reorder the terms: 4(-1 + 3x) + -1(x + 5) = 24 (-1 * 4 + 3x * 4) + -1(x + 5) = 24 (-4 + 12x) + -1(x + 5) = 24 Reorder the terms: -4 + 12x + -1(5 + x) = 24 -4 + 12x + (5 * -1 + x * -1) = 24 -4 + 12x + (-5 + -1x) = 24 Reorder the terms: -4 + -5 + 12x + -1x = 24 Combine like terms: -4 + -5 = -9 -9 + 12x + -1x = 24 Combine like terms: 12x + -1x = 11x -9 + 11x = 24 Solving -9 + 11x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 11x = 24 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = 24 + 9 11x = 24 + 9 Combine like terms: 24 + 9 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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