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Simplifying 0.15x + 0.20(25) = (0.16)(x + 25) Multiply 0.20 * 25 0.15x + 5 = (0.16)(x + 25) Reorder the terms: 5 + 0.15x = (0.16)(x + 25) Reorder the terms: 5 + 0.15x = 0.16(25 + x) 5 + 0.15x = (25 * 0.16 + x * 0.16) 5 + 0.15x = (4 + 0.16x) Solving 5 + 0.15x = 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. 5 + 0.15x + -0.16x = 4 + 0.16x + -0.16x Combine like terms: 0.15x + -0.16x = -0.01x 5 + -0.01x = 4 + 0.16x + -0.16x Combine like terms: 0.16x + -0.16x = 0.00 5 + -0.01x = 4 + 0.00 5 + -0.01x = 4 Add '-5' to each side of the equation. 5 + -5 + -0.01x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -0.01x = 4 + -5 -0.01x = 4 + -5 Combine like terms: 4 + -5 = -1 -0.01x = -1 Divide each side by '-0.01'. x = 100 Simplifying x = 100
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