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Simplifying 0.08x + 0.15(6) = 0.10(x + 6) Multiply 0.15 * 6 0.08x + 0.9 = 0.10(x + 6) Reorder the terms: 0.9 + 0.08x = 0.10(x + 6) Reorder the terms: 0.9 + 0.08x = 0.10(6 + x) 0.9 + 0.08x = (6 * 0.10 + x * 0.10) 0.9 + 0.08x = (0.6 + 0.10x) Solving 0.9 + 0.08x = 0.6 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 0.9 + 0.08x + -0.10x = 0.6 + 0.10x + -0.10x Combine like terms: 0.08x + -0.10x = -0.02x 0.9 + -0.02x = 0.6 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 0.9 + -0.02x = 0.6 + 0.00 0.9 + -0.02x = 0.6 Add '-0.9' to each side of the equation. 0.9 + -0.9 + -0.02x = 0.6 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.02x = 0.6 + -0.9 -0.02x = 0.6 + -0.9 Combine like terms: 0.6 + -0.9 = -0.3 -0.02x = -0.3 Divide each side by '-0.02'. x = 15 Simplifying x = 15
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