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Simplifying 0.9(0.42 + 9x) = 8.6x (0.42 * 0.9 + 9x * 0.9) = 8.6x (0.378 + 8.1x) = 8.6x Solving 0.378 + 8.1x = 8.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.6x' to each side of the equation. 0.378 + 8.1x + -8.6x = 8.6x + -8.6x Combine like terms: 8.1x + -8.6x = -0.5x 0.378 + -0.5x = 8.6x + -8.6x Combine like terms: 8.6x + -8.6x = 0.0 0.378 + -0.5x = 0.0 Add '-0.378' to each side of the equation. 0.378 + -0.378 + -0.5x = 0.0 + -0.378 Combine like terms: 0.378 + -0.378 = 0.000 0.000 + -0.5x = 0.0 + -0.378 -0.5x = 0.0 + -0.378 Combine like terms: 0.0 + -0.378 = -0.378 -0.5x = -0.378 Divide each side by '-0.5'. x = 0.756 Simplifying x = 0.756
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