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Simplifying 0.25(x + 4) + 4 = 0.50x + 1 Reorder the terms: 0.25(4 + x) + 4 = 0.50x + 1 (4 * 0.25 + x * 0.25) + 4 = 0.50x + 1 (1 + 0.25x) + 4 = 0.50x + 1 Reorder the terms: 1 + 4 + 0.25x = 0.50x + 1 Combine like terms: 1 + 4 = 5 5 + 0.25x = 0.50x + 1 Reorder the terms: 5 + 0.25x = 1 + 0.50x Solving 5 + 0.25x = 1 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 5 + 0.25x + -0.50x = 1 + 0.50x + -0.50x Combine like terms: 0.25x + -0.50x = -0.25x 5 + -0.25x = 1 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 5 + -0.25x = 1 + 0.00 5 + -0.25x = 1 Add '-5' to each side of the equation. 5 + -5 + -0.25x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -0.25x = 1 + -5 -0.25x = 1 + -5 Combine like terms: 1 + -5 = -4 -0.25x = -4 Divide each side by '-0.25'. x = 16 Simplifying x = 16
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