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Simplifying 24(2x + -1) = 8(x + 4) + 3 Reorder the terms: 24(-1 + 2x) = 8(x + 4) + 3 (-1 * 24 + 2x * 24) = 8(x + 4) + 3 (-24 + 48x) = 8(x + 4) + 3 Reorder the terms: -24 + 48x = 8(4 + x) + 3 -24 + 48x = (4 * 8 + x * 8) + 3 -24 + 48x = (32 + 8x) + 3 Reorder the terms: -24 + 48x = 32 + 3 + 8x Combine like terms: 32 + 3 = 35 -24 + 48x = 35 + 8x Solving -24 + 48x = 35 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + 48x + -8x = 35 + 8x + -8x Combine like terms: 48x + -8x = 40x -24 + 40x = 35 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 40x = 35 + 0 -24 + 40x = 35 Add '24' to each side of the equation. -24 + 24 + 40x = 35 + 24 Combine like terms: -24 + 24 = 0 0 + 40x = 35 + 24 40x = 35 + 24 Combine like terms: 35 + 24 = 59 40x = 59 Divide each side by '40'. x = 1.475 Simplifying x = 1.475
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