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Simplifying 0.25(x + 5) = 1.25 + -0.25x Reorder the terms: 0.25(5 + x) = 1.25 + -0.25x (5 * 0.25 + x * 0.25) = 1.25 + -0.25x (1.25 + 0.25x) = 1.25 + -0.25x Add '-1.25' to each side of the equation. 1.25 + -1.25 + 0.25x = 1.25 + -1.25 + -0.25x Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 0.25x = 1.25 + -1.25 + -0.25x 0.25x = 1.25 + -1.25 + -0.25x Combine like terms: 1.25 + -1.25 = 0.00 0.25x = 0.00 + -0.25x 0.25x = -0.25x Solving 0.25x = -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. 0.25x + 0.25x = -0.25x + 0.25x Combine like terms: 0.25x + 0.25x = 0.5x 0.5x = -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 0.5x = 0.00 Divide each side by '0.5'. x = 0.0 Simplifying x = 0.0
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