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Simplifying -8(-3 + -6x) = 6(4 + 2x) + -2x (-3 * -8 + -6x * -8) = 6(4 + 2x) + -2x (24 + 48x) = 6(4 + 2x) + -2x 24 + 48x = (4 * 6 + 2x * 6) + -2x 24 + 48x = (24 + 12x) + -2x Combine like terms: 12x + -2x = 10x 24 + 48x = 24 + 10x Add '-24' to each side of the equation. 24 + -24 + 48x = 24 + -24 + 10x Combine like terms: 24 + -24 = 0 0 + 48x = 24 + -24 + 10x 48x = 24 + -24 + 10x Combine like terms: 24 + -24 = 0 48x = 0 + 10x 48x = 10x Solving 48x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 48x + -10x = 10x + -10x Combine like terms: 48x + -10x = 38x 38x = 10x + -10x Combine like terms: 10x + -10x = 0 38x = 0 Divide each side by '38'. x = 0 Simplifying x = 0
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