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Simplifying 0.75x + 2 = -0.25x + 6 Reorder the terms: 2 + 0.75x = -0.25x + 6 Reorder the terms: 2 + 0.75x = 6 + -0.25x Solving 2 + 0.75x = 6 + -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. 2 + 0.75x + 0.25x = 6 + -0.25x + 0.25x Combine like terms: 0.75x + 0.25x = 1x 2 + 1x = 6 + -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 2 + 1x = 6 + 0.00 2 + 1x = 6 Add '-2' to each side of the equation. 2 + -2 + 1x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 6 + -2 1x = 6 + -2 Combine like terms: 6 + -2 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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