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Simplifying 3x + -1(8x + 6) = 4x + -24 Reorder the terms: 3x + -1(6 + 8x) = 4x + -24 3x + (6 * -1 + 8x * -1) = 4x + -24 3x + (-6 + -8x) = 4x + -24 Reorder the terms: -6 + 3x + -8x = 4x + -24 Combine like terms: 3x + -8x = -5x -6 + -5x = 4x + -24 Reorder the terms: -6 + -5x = -24 + 4x Solving -6 + -5x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + -5x + -4x = -24 + 4x + -4x Combine like terms: -5x + -4x = -9x -6 + -9x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -9x = -24 + 0 -6 + -9x = -24 Add '6' to each side of the equation. -6 + 6 + -9x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = -24 + 6 -9x = -24 + 6 Combine like terms: -24 + 6 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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