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Simplifying 3.319(14.1x + -5) = 9.95 + -4.6x Reorder the terms: 3.319(-5 + 14.1x) = 9.95 + -4.6x (-5 * 3.319 + 14.1x * 3.319) = 9.95 + -4.6x (-16.595 + 46.7979x) = 9.95 + -4.6x Solving -16.595 + 46.7979x = 9.95 + -4.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.6x' to each side of the equation. -16.595 + 46.7979x + 4.6x = 9.95 + -4.6x + 4.6x Combine like terms: 46.7979x + 4.6x = 51.3979x -16.595 + 51.3979x = 9.95 + -4.6x + 4.6x Combine like terms: -4.6x + 4.6x = 0.0 -16.595 + 51.3979x = 9.95 + 0.0 -16.595 + 51.3979x = 9.95 Add '16.595' to each side of the equation. -16.595 + 16.595 + 51.3979x = 9.95 + 16.595 Combine like terms: -16.595 + 16.595 = 0.000 0.000 + 51.3979x = 9.95 + 16.595 51.3979x = 9.95 + 16.595 Combine like terms: 9.95 + 16.595 = 26.545 51.3979x = 26.545 Divide each side by '51.3979'. x = 0.5164607893 Simplifying x = 0.5164607893
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