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Simplifying 3.318(14.1x + -5) = 9.95 + -4.6x Reorder the terms: 3.318(-5 + 14.1x) = 9.95 + -4.6x (-5 * 3.318 + 14.1x * 3.318) = 9.95 + -4.6x (-16.59 + 46.7838x) = 9.95 + -4.6x Solving -16.59 + 46.7838x = 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. -16.59 + 46.7838x + 4.6x = 9.95 + -4.6x + 4.6x Combine like terms: 46.7838x + 4.6x = 51.3838x -16.59 + 51.3838x = 9.95 + -4.6x + 4.6x Combine like terms: -4.6x + 4.6x = 0.0 -16.59 + 51.3838x = 9.95 + 0.0 -16.59 + 51.3838x = 9.95 Add '16.59' to each side of the equation. -16.59 + 16.59 + 51.3838x = 9.95 + 16.59 Combine like terms: -16.59 + 16.59 = 0.00 0.00 + 51.3838x = 9.95 + 16.59 51.3838x = 9.95 + 16.59 Combine like terms: 9.95 + 16.59 = 26.54 51.3838x = 26.54 Divide each side by '51.3838'. x = 0.516505202 Simplifying x = 0.516505202
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