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Simplifying 24(2x + -1) = 6(x + 3) + 3 Reorder the terms: 24(-1 + 2x) = 6(x + 3) + 3 (-1 * 24 + 2x * 24) = 6(x + 3) + 3 (-24 + 48x) = 6(x + 3) + 3 Reorder the terms: -24 + 48x = 6(3 + x) + 3 -24 + 48x = (3 * 6 + x * 6) + 3 -24 + 48x = (18 + 6x) + 3 Reorder the terms: -24 + 48x = 18 + 3 + 6x Combine like terms: 18 + 3 = 21 -24 + 48x = 21 + 6x Solving -24 + 48x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + 48x + -6x = 21 + 6x + -6x Combine like terms: 48x + -6x = 42x -24 + 42x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 42x = 21 + 0 -24 + 42x = 21 Add '24' to each side of the equation. -24 + 24 + 42x = 21 + 24 Combine like terms: -24 + 24 = 0 0 + 42x = 21 + 24 42x = 21 + 24 Combine like terms: 21 + 24 = 45 42x = 45 Divide each side by '42'. x = 1.071428571 Simplifying x = 1.071428571
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