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Simplifying 1.5x + -6 = 0.25x + 4 Reorder the terms: -6 + 1.5x = 0.25x + 4 Reorder the terms: -6 + 1.5x = 4 + 0.25x Solving -6 + 1.5x = 4 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. -6 + 1.5x + -0.25x = 4 + 0.25x + -0.25x Combine like terms: 1.5x + -0.25x = 1.25x -6 + 1.25x = 4 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -6 + 1.25x = 4 + 0.00 -6 + 1.25x = 4 Add '6' to each side of the equation. -6 + 6 + 1.25x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 1.25x = 4 + 6 1.25x = 4 + 6 Combine like terms: 4 + 6 = 10 1.25x = 10 Divide each side by '1.25'. x = 8 Simplifying x = 8
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