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Simplifying 6x + -1(3x + 4) = 8x + -24 Reorder the terms: 6x + -1(4 + 3x) = 8x + -24 6x + (4 * -1 + 3x * -1) = 8x + -24 6x + (-4 + -3x) = 8x + -24 Reorder the terms: -4 + 6x + -3x = 8x + -24 Combine like terms: 6x + -3x = 3x -4 + 3x = 8x + -24 Reorder the terms: -4 + 3x = -24 + 8x Solving -4 + 3x = -24 + 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. -4 + 3x + -8x = -24 + 8x + -8x Combine like terms: 3x + -8x = -5x -4 + -5x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -5x = -24 + 0 -4 + -5x = -24 Add '4' to each side of the equation. -4 + 4 + -5x = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = -24 + 4 -5x = -24 + 4 Combine like terms: -24 + 4 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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