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Simplifying 6(4x + -1) + 2(12 + -8x) = 24 Reorder the terms: 6(-1 + 4x) + 2(12 + -8x) = 24 (-1 * 6 + 4x * 6) + 2(12 + -8x) = 24 (-6 + 24x) + 2(12 + -8x) = 24 -6 + 24x + (12 * 2 + -8x * 2) = 24 -6 + 24x + (24 + -16x) = 24 Reorder the terms: -6 + 24 + 24x + -16x = 24 Combine like terms: -6 + 24 = 18 18 + 24x + -16x = 24 Combine like terms: 24x + -16x = 8x 18 + 8x = 24 Solving 18 + 8x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 8x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 24 + -18 8x = 24 + -18 Combine like terms: 24 + -18 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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