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Simplifying 3(2x + -8) = 6(4 + -3x) Reorder the terms: 3(-8 + 2x) = 6(4 + -3x) (-8 * 3 + 2x * 3) = 6(4 + -3x) (-24 + 6x) = 6(4 + -3x) -24 + 6x = (4 * 6 + -3x * 6) -24 + 6x = (24 + -18x) Solving -24 + 6x = 24 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -24 + 6x + 18x = 24 + -18x + 18x Combine like terms: 6x + 18x = 24x -24 + 24x = 24 + -18x + 18x Combine like terms: -18x + 18x = 0 -24 + 24x = 24 + 0 -24 + 24x = 24 Add '24' to each side of the equation. -24 + 24 + 24x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 24x = 24 + 24 24x = 24 + 24 Combine like terms: 24 + 24 = 48 24x = 48 Divide each side by '24'. x = 2 Simplifying x = 2
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