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Simplifying (0.15) * x + (0.20) = 0.16(x + 25) 0.15x + 0.20 = 0.16(x + 25) Reorder the terms: 0.20 + 0.15x = 0.16(x + 25) Reorder the terms: 0.20 + 0.15x = 0.16(25 + x) 0.20 + 0.15x = (25 * 0.16 + x * 0.16) 0.20 + 0.15x = (4 + 0.16x) Solving 0.20 + 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. 0.20 + 0.15x + -0.16x = 4 + 0.16x + -0.16x Combine like terms: 0.15x + -0.16x = -0.01x 0.20 + -0.01x = 4 + 0.16x + -0.16x Combine like terms: 0.16x + -0.16x = 0.00 0.20 + -0.01x = 4 + 0.00 0.20 + -0.01x = 4 Add '-0.20' to each side of the equation. 0.20 + -0.20 + -0.01x = 4 + -0.20 Combine like terms: 0.20 + -0.20 = 0.00 0.00 + -0.01x = 4 + -0.20 -0.01x = 4 + -0.20 Combine like terms: 4 + -0.20 = 3.8 -0.01x = 3.8 Divide each side by '-0.01'. x = -380 Simplifying x = -380
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