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Simplifying 3(8x + -6) = 32x + -24 Reorder the terms: 3(-6 + 8x) = 32x + -24 (-6 * 3 + 8x * 3) = 32x + -24 (-18 + 24x) = 32x + -24 Reorder the terms: -18 + 24x = -24 + 32x Solving -18 + 24x = -24 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -18 + 24x + -32x = -24 + 32x + -32x Combine like terms: 24x + -32x = -8x -18 + -8x = -24 + 32x + -32x Combine like terms: 32x + -32x = 0 -18 + -8x = -24 + 0 -18 + -8x = -24 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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