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Simplifying 3x + 5 = 0.25(15x + 10) Reorder the terms: 5 + 3x = 0.25(15x + 10) Reorder the terms: 5 + 3x = 0.25(10 + 15x) 5 + 3x = (10 * 0.25 + 15x * 0.25) 5 + 3x = (2.5 + 3.75x) Solving 5 + 3x = 2.5 + 3.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75x' to each side of the equation. 5 + 3x + -3.75x = 2.5 + 3.75x + -3.75x Combine like terms: 3x + -3.75x = -0.75x 5 + -0.75x = 2.5 + 3.75x + -3.75x Combine like terms: 3.75x + -3.75x = 0.00 5 + -0.75x = 2.5 + 0.00 5 + -0.75x = 2.5 Add '-5' to each side of the equation. 5 + -5 + -0.75x = 2.5 + -5 Combine like terms: 5 + -5 = 0 0 + -0.75x = 2.5 + -5 -0.75x = 2.5 + -5 Combine like terms: 2.5 + -5 = -2.5 -0.75x = -2.5 Divide each side by '-0.75'. x = 3.333333333 Simplifying x = 3.333333333
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