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Simplifying 0.25(4x + 10) = 5 + -3x Reorder the terms: 0.25(10 + 4x) = 5 + -3x (10 * 0.25 + 4x * 0.25) = 5 + -3x (2.5 + 1x) = 5 + -3x Solving 2.5 + 1x = 5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2.5 + 1x + 3x = 5 + -3x + 3x Combine like terms: 1x + 3x = 4x 2.5 + 4x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 2.5 + 4x = 5 + 0 2.5 + 4x = 5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 4x = 5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 4x = 5 + -2.5 4x = 5 + -2.5 Combine like terms: 5 + -2.5 = 2.5 4x = 2.5 Divide each side by '4'. x = 0.625 Simplifying x = 0.625
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