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Simplifying 0.25(x + 4) = 0.5(2x + 10) Reorder the terms: 0.25(4 + x) = 0.5(2x + 10) (4 * 0.25 + x * 0.25) = 0.5(2x + 10) (1 + 0.25x) = 0.5(2x + 10) Reorder the terms: 1 + 0.25x = 0.5(10 + 2x) 1 + 0.25x = (10 * 0.5 + 2x * 0.5) 1 + 0.25x = (5 + 1x) Solving 1 + 0.25x = 5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 0.25x + -1x = 5 + 1x + -1x Combine like terms: 0.25x + -1x = -0.75x 1 + -0.75x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + -0.75x = 5 + 0 1 + -0.75x = 5 Add '-1' to each side of the equation. 1 + -1 + -0.75x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -0.75x = 5 + -1 -0.75x = 5 + -1 Combine like terms: 5 + -1 = 4 -0.75x = 4 Divide each side by '-0.75'. x = -5.333333333 Simplifying x = -5.333333333
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