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Simplifying 0.25[5] + 0.75x = 0.35[5 + x] Multiply 0.25 * 5 1.25 + 0.75x = 0.35[5 + x] 1.25 + 0.75x = [5 * 0.35 + x * 0.35] 1.25 + 0.75x = [1.75 + 0.35x] Solving 1.25 + 0.75x = 1.75 + 0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.35x' to each side of the equation. 1.25 + 0.75x + -0.35x = 1.75 + 0.35x + -0.35x Combine like terms: 0.75x + -0.35x = 0.4x 1.25 + 0.4x = 1.75 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 1.25 + 0.4x = 1.75 + 0.00 1.25 + 0.4x = 1.75 Add '-1.25' to each side of the equation. 1.25 + -1.25 + 0.4x = 1.75 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 0.4x = 1.75 + -1.25 0.4x = 1.75 + -1.25 Combine like terms: 1.75 + -1.25 = 0.5 0.4x = 0.5 Divide each side by '0.4'. x = 1.25 Simplifying x = 1.25
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