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Simplifying 3(4x + -8) = 6(3x + -4) Reorder the terms: 3(-8 + 4x) = 6(3x + -4) (-8 * 3 + 4x * 3) = 6(3x + -4) (-24 + 12x) = 6(3x + -4) Reorder the terms: -24 + 12x = 6(-4 + 3x) -24 + 12x = (-4 * 6 + 3x * 6) -24 + 12x = (-24 + 18x) Add '24' to each side of the equation. -24 + 24 + 12x = -24 + 24 + 18x Combine like terms: -24 + 24 = 0 0 + 12x = -24 + 24 + 18x 12x = -24 + 24 + 18x Combine like terms: -24 + 24 = 0 12x = 0 + 18x 12x = 18x Solving 12x = 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. 12x + -18x = 18x + -18x Combine like terms: 12x + -18x = -6x -6x = 18x + -18x Combine like terms: 18x + -18x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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