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Simplifying 9(2x + -3) + -4(4x + -1) = 24 Reorder the terms: 9(-3 + 2x) + -4(4x + -1) = 24 (-3 * 9 + 2x * 9) + -4(4x + -1) = 24 (-27 + 18x) + -4(4x + -1) = 24 Reorder the terms: -27 + 18x + -4(-1 + 4x) = 24 -27 + 18x + (-1 * -4 + 4x * -4) = 24 -27 + 18x + (4 + -16x) = 24 Reorder the terms: -27 + 4 + 18x + -16x = 24 Combine like terms: -27 + 4 = -23 -23 + 18x + -16x = 24 Combine like terms: 18x + -16x = 2x -23 + 2x = 24 Solving -23 + 2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 2x = 24 + 23 Combine like terms: -23 + 23 = 0 0 + 2x = 24 + 23 2x = 24 + 23 Combine like terms: 24 + 23 = 47 2x = 47 Divide each side by '2'. x = 23.5 Simplifying x = 23.5
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