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Simplifying 3(-4 + 8x) = 6(2 + -4x) (-4 * 3 + 8x * 3) = 6(2 + -4x) (-12 + 24x) = 6(2 + -4x) -12 + 24x = (2 * 6 + -4x * 6) -12 + 24x = (12 + -24x) Solving -12 + 24x = 12 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -12 + 24x + 24x = 12 + -24x + 24x Combine like terms: 24x + 24x = 48x -12 + 48x = 12 + -24x + 24x Combine like terms: -24x + 24x = 0 -12 + 48x = 12 + 0 -12 + 48x = 12 Add '12' to each side of the equation. -12 + 12 + 48x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 48x = 12 + 12 48x = 12 + 12 Combine like terms: 12 + 12 = 24 48x = 24 Divide each side by '48'. x = 0.5 Simplifying x = 0.5
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