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Simplifying 10.6x + 78.37 = -9.4x + 78.19 Reorder the terms: 78.37 + 10.6x = -9.4x + 78.19 Reorder the terms: 78.37 + 10.6x = 78.19 + -9.4x Solving 78.37 + 10.6x = 78.19 + -9.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.4x' to each side of the equation. 78.37 + 10.6x + 9.4x = 78.19 + -9.4x + 9.4x Combine like terms: 10.6x + 9.4x = 20x 78.37 + 20x = 78.19 + -9.4x + 9.4x Combine like terms: -9.4x + 9.4x = 0.0 78.37 + 20x = 78.19 + 0.0 78.37 + 20x = 78.19 Add '-78.37' to each side of the equation. 78.37 + -78.37 + 20x = 78.19 + -78.37 Combine like terms: 78.37 + -78.37 = 0.00 0.00 + 20x = 78.19 + -78.37 20x = 78.19 + -78.37 Combine like terms: 78.19 + -78.37 = -0.18 20x = -0.18 Divide each side by '20'. x = -0.009 Simplifying x = -0.009
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