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Simplifying 8.4x + 78.04 = -11.6x + 77.88 Reorder the terms: 78.04 + 8.4x = -11.6x + 77.88 Reorder the terms: 78.04 + 8.4x = 77.88 + -11.6x Solving 78.04 + 8.4x = 77.88 + -11.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.6x' to each side of the equation. 78.04 + 8.4x + 11.6x = 77.88 + -11.6x + 11.6x Combine like terms: 8.4x + 11.6x = 20x 78.04 + 20x = 77.88 + -11.6x + 11.6x Combine like terms: -11.6x + 11.6x = 0.0 78.04 + 20x = 77.88 + 0.0 78.04 + 20x = 77.88 Add '-78.04' to each side of the equation. 78.04 + -78.04 + 20x = 77.88 + -78.04 Combine like terms: 78.04 + -78.04 = 0.00 0.00 + 20x = 77.88 + -78.04 20x = 77.88 + -78.04 Combine like terms: 77.88 + -78.04 = -0.16 20x = -0.16 Divide each side by '20'. x = -0.008 Simplifying x = -0.008
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