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Simplifying 0.10x + 0.15(-1x + 390) = 54.6 Reorder the terms: 0.10x + 0.15(390 + -1x) = 54.6 0.10x + (390 * 0.15 + -1x * 0.15) = 54.6 0.10x + (58.5 + -0.15x) = 54.6 Reorder the terms: 58.5 + 0.10x + -0.15x = 54.6 Combine like terms: 0.10x + -0.15x = -0.05x 58.5 + -0.05x = 54.6 Solving 58.5 + -0.05x = 54.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58.5' to each side of the equation. 58.5 + -58.5 + -0.05x = 54.6 + -58.5 Combine like terms: 58.5 + -58.5 = 0.0 0.0 + -0.05x = 54.6 + -58.5 -0.05x = 54.6 + -58.5 Combine like terms: 54.6 + -58.5 = -3.9 -0.05x = -3.9 Divide each side by '-0.05'. x = 78 Simplifying x = 78
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