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Simplifying 6(9x + -4) = 3(2x + -8) Reorder the terms: 6(-4 + 9x) = 3(2x + -8) (-4 * 6 + 9x * 6) = 3(2x + -8) (-24 + 54x) = 3(2x + -8) Reorder the terms: -24 + 54x = 3(-8 + 2x) -24 + 54x = (-8 * 3 + 2x * 3) -24 + 54x = (-24 + 6x) Add '24' to each side of the equation. -24 + 24 + 54x = -24 + 24 + 6x Combine like terms: -24 + 24 = 0 0 + 54x = -24 + 24 + 6x 54x = -24 + 24 + 6x Combine like terms: -24 + 24 = 0 54x = 0 + 6x 54x = 6x Solving 54x = 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. 54x + -6x = 6x + -6x Combine like terms: 54x + -6x = 48x 48x = 6x + -6x Combine like terms: 6x + -6x = 0 48x = 0 Divide each side by '48'. x = 0 Simplifying x = 0
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