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Simplifying 2(3x + -4) = (0.5x + -8) Reorder the terms: 2(-4 + 3x) = (0.5x + -8) (-4 * 2 + 3x * 2) = (0.5x + -8) (-8 + 6x) = (0.5x + -8) Reorder the terms: -8 + 6x = (-8 + 0.5x) Remove parenthesis around (-8 + 0.5x) -8 + 6x = -8 + 0.5x Add '8' to each side of the equation. -8 + 8 + 6x = -8 + 8 + 0.5x Combine like terms: -8 + 8 = 0 0 + 6x = -8 + 8 + 0.5x 6x = -8 + 8 + 0.5x Combine like terms: -8 + 8 = 0 6x = 0 + 0.5x 6x = 0.5x Solving 6x = 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 6x + -0.5x = 0.5x + -0.5x Combine like terms: 6x + -0.5x = 5.5x 5.5x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5.5x = 0.0 Divide each side by '5.5'. x = 0 Simplifying x = 0
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