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Simplifying 0.08x + 0.09(x + 20) = 6.9 Reorder the terms: 0.08x + 0.09(20 + x) = 6.9 0.08x + (20 * 0.09 + x * 0.09) = 6.9 0.08x + (1.8 + 0.09x) = 6.9 Reorder the terms: 1.8 + 0.08x + 0.09x = 6.9 Combine like terms: 0.08x + 0.09x = 0.17x 1.8 + 0.17x = 6.9 Solving 1.8 + 0.17x = 6.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8' to each side of the equation. 1.8 + -1.8 + 0.17x = 6.9 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 0.17x = 6.9 + -1.8 0.17x = 6.9 + -1.8 Combine like terms: 6.9 + -1.8 = 5.1 0.17x = 5.1 Divide each side by '0.17'. x = 30 Simplifying x = 30
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