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Simplifying 4(2x + -3) + 5(3x + -2) = 24 Reorder the terms: 4(-3 + 2x) + 5(3x + -2) = 24 (-3 * 4 + 2x * 4) + 5(3x + -2) = 24 (-12 + 8x) + 5(3x + -2) = 24 Reorder the terms: -12 + 8x + 5(-2 + 3x) = 24 -12 + 8x + (-2 * 5 + 3x * 5) = 24 -12 + 8x + (-10 + 15x) = 24 Reorder the terms: -12 + -10 + 8x + 15x = 24 Combine like terms: -12 + -10 = -22 -22 + 8x + 15x = 24 Combine like terms: 8x + 15x = 23x -22 + 23x = 24 Solving -22 + 23x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 23x = 24 + 22 Combine like terms: -22 + 22 = 0 0 + 23x = 24 + 22 23x = 24 + 22 Combine like terms: 24 + 22 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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