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Simplifying 0.15(25) + 0.20x = (25 + x) * 0.16 Multiply 0.15 * 25 3.75 + 0.20x = (25 + x) * 0.16 Reorder the terms for easier multiplication: 3.75 + 0.20x = 0.16(25 + x) 3.75 + 0.20x = (25 * 0.16 + x * 0.16) 3.75 + 0.20x = (4 + 0.16x) Solving 3.75 + 0.20x = 4 + 0.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.16x' to each side of the equation. 3.75 + 0.20x + -0.16x = 4 + 0.16x + -0.16x Combine like terms: 0.20x + -0.16x = 0.04x 3.75 + 0.04x = 4 + 0.16x + -0.16x Combine like terms: 0.16x + -0.16x = 0.00 3.75 + 0.04x = 4 + 0.00 3.75 + 0.04x = 4 Add '-3.75' to each side of the equation. 3.75 + -3.75 + 0.04x = 4 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + 0.04x = 4 + -3.75 0.04x = 4 + -3.75 Combine like terms: 4 + -3.75 = 0.25 0.04x = 0.25 Divide each side by '0.04'. x = 6.25 Simplifying x = 6.25
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