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Simplifying 24(2x + -1) = 6(x + 3) + 3x Reorder the terms: 24(-1 + 2x) = 6(x + 3) + 3x (-1 * 24 + 2x * 24) = 6(x + 3) + 3x (-24 + 48x) = 6(x + 3) + 3x Reorder the terms: -24 + 48x = 6(3 + x) + 3x -24 + 48x = (3 * 6 + x * 6) + 3x -24 + 48x = (18 + 6x) + 3x Combine like terms: 6x + 3x = 9x -24 + 48x = 18 + 9x Solving -24 + 48x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -24 + 48x + -9x = 18 + 9x + -9x Combine like terms: 48x + -9x = 39x -24 + 39x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + 39x = 18 + 0 -24 + 39x = 18 Add '24' to each side of the equation. -24 + 24 + 39x = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 39x = 18 + 24 39x = 18 + 24 Combine like terms: 18 + 24 = 42 39x = 42 Divide each side by '39'. x = 1.076923077 Simplifying x = 1.076923077
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