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Simplifying 9.1x + 30.37 = -10.9x + 29.05 Reorder the terms: 30.37 + 9.1x = -10.9x + 29.05 Reorder the terms: 30.37 + 9.1x = 29.05 + -10.9x Solving 30.37 + 9.1x = 29.05 + -10.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.9x' to each side of the equation. 30.37 + 9.1x + 10.9x = 29.05 + -10.9x + 10.9x Combine like terms: 9.1x + 10.9x = 20x 30.37 + 20x = 29.05 + -10.9x + 10.9x Combine like terms: -10.9x + 10.9x = 0.0 30.37 + 20x = 29.05 + 0.0 30.37 + 20x = 29.05 Add '-30.37' to each side of the equation. 30.37 + -30.37 + 20x = 29.05 + -30.37 Combine like terms: 30.37 + -30.37 = 0.00 0.00 + 20x = 29.05 + -30.37 20x = 29.05 + -30.37 Combine like terms: 29.05 + -30.37 = -1.32 20x = -1.32 Divide each side by '20'. x = -0.066 Simplifying x = -0.066
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