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Simplifying 0.50x + -2 = 1.50x + 4 Reorder the terms: -2 + 0.50x = 1.50x + 4 Reorder the terms: -2 + 0.50x = 4 + 1.50x Solving -2 + 0.50x = 4 + 1.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.50x' to each side of the equation. -2 + 0.50x + -1.50x = 4 + 1.50x + -1.50x Combine like terms: 0.50x + -1.50x = -1x -2 + -1x = 4 + 1.50x + -1.50x Combine like terms: 1.50x + -1.50x = 0.00 -2 + -1x = 4 + 0.00 -2 + -1x = 4 Add '2' to each side of the equation. -2 + 2 + -1x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 4 + 2 -1x = 4 + 2 Combine like terms: 4 + 2 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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