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Simplifying 0.75(2.667x + -8) = 0.50(4x + 6) Reorder the terms: 0.75(-8 + 2.667x) = 0.50(4x + 6) (-8 * 0.75 + 2.667x * 0.75) = 0.50(4x + 6) (-6 + 2.00025x) = 0.50(4x + 6) Reorder the terms: -6 + 2.00025x = 0.50(6 + 4x) -6 + 2.00025x = (6 * 0.50 + 4x * 0.50) -6 + 2.00025x = (3 + 2x) Solving -6 + 2.00025x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 2.00025x + -2x = 3 + 2x + -2x Combine like terms: 2.00025x + -2x = 0.00025x -6 + 0.00025x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 0.00025x = 3 + 0 -6 + 0.00025x = 3 Add '6' to each side of the equation. -6 + 6 + 0.00025x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 0.00025x = 3 + 6 0.00025x = 3 + 6 Combine like terms: 3 + 6 = 9 0.00025x = 9 Divide each side by '0.00025'. x = 36000 Simplifying x = 36000
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