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Simplifying (0.25) * x + 2 = 4 + -1(0.5) * x Reorder the terms: 2 + 0.25x = 4 + -1(0.5) * x Multiply -1 * 0.5 2 + 0.25x = 4 + -0.5x Solving 2 + 0.25x = 4 + -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. 2 + 0.25x + 0.5x = 4 + -0.5x + 0.5x Combine like terms: 0.25x + 0.5x = 0.75x 2 + 0.75x = 4 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 2 + 0.75x = 4 + 0.0 2 + 0.75x = 4 Add '-2' to each side of the equation. 2 + -2 + 0.75x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 0.75x = 4 + -2 0.75x = 4 + -2 Combine like terms: 4 + -2 = 2 0.75x = 2 Divide each side by '0.75'. x = 2.666666667 Simplifying x = 2.666666667
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