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Simplifying 0 = 0.25x + -0.75(x + -1) Reorder the terms: 0 = 0.25x + -0.75(-1 + x) 0 = 0.25x + (-1 * -0.75 + x * -0.75) 0 = 0.25x + (0.75 + -0.75x) Reorder the terms: 0 = 0.75 + 0.25x + -0.75x Combine like terms: 0.25x + -0.75x = -0.5x 0 = 0.75 + -0.5x Solving 0 = 0.75 + -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. 0 + 0.5x = 0.75 + -0.5x + 0.5x Remove the zero: 0.5x = 0.75 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 0.5x = 0.75 + 0.0 0.5x = 0.75 Divide each side by '0.5'. x = 1.5 Simplifying x = 1.5
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