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Simplifying 85 + -1(5 + 9x) * 0.9 = 3x + -5 Reorder the terms for easier multiplication: 85 + -1 * 0.9(5 + 9x) = 3x + -5 Multiply -1 * 0.9 85 + -0.9(5 + 9x) = 3x + -5 85 + (5 * -0.9 + 9x * -0.9) = 3x + -5 85 + (-4.5 + -8.1x) = 3x + -5 Combine like terms: 85 + -4.5 = 80.5 80.5 + -8.1x = 3x + -5 Reorder the terms: 80.5 + -8.1x = -5 + 3x Solving 80.5 + -8.1x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 80.5 + -8.1x + -3x = -5 + 3x + -3x Combine like terms: -8.1x + -3x = -11.1x 80.5 + -11.1x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 80.5 + -11.1x = -5 + 0 80.5 + -11.1x = -5 Add '-80.5' to each side of the equation. 80.5 + -80.5 + -11.1x = -5 + -80.5 Combine like terms: 80.5 + -80.5 = 0.0 0.0 + -11.1x = -5 + -80.5 -11.1x = -5 + -80.5 Combine like terms: -5 + -80.5 = -85.5 -11.1x = -85.5 Divide each side by '-11.1'. x = 7.702702703 Simplifying x = 7.702702703
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