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Simplifying 8(3x + -3) = 6 + -6x Reorder the terms: 8(-3 + 3x) = 6 + -6x (-3 * 8 + 3x * 8) = 6 + -6x (-24 + 24x) = 6 + -6x Solving -24 + 24x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -24 + 24x + 6x = 6 + -6x + 6x Combine like terms: 24x + 6x = 30x -24 + 30x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + 30x = 6 + 0 -24 + 30x = 6 Add '24' to each side of the equation. -24 + 24 + 30x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 30x = 6 + 24 30x = 6 + 24 Combine like terms: 6 + 24 = 30 30x = 30 Divide each side by '30'. x = 1 Simplifying x = 1
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