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Simplifying 10.9x + 6.95 = -9.1x + 6.85 Reorder the terms: 6.95 + 10.9x = -9.1x + 6.85 Reorder the terms: 6.95 + 10.9x = 6.85 + -9.1x Solving 6.95 + 10.9x = 6.85 + -9.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.1x' to each side of the equation. 6.95 + 10.9x + 9.1x = 6.85 + -9.1x + 9.1x Combine like terms: 10.9x + 9.1x = 20x 6.95 + 20x = 6.85 + -9.1x + 9.1x Combine like terms: -9.1x + 9.1x = 0.0 6.95 + 20x = 6.85 + 0.0 6.95 + 20x = 6.85 Add '-6.95' to each side of the equation. 6.95 + -6.95 + 20x = 6.85 + -6.95 Combine like terms: 6.95 + -6.95 = 0.00 0.00 + 20x = 6.85 + -6.95 20x = 6.85 + -6.95 Combine like terms: 6.85 + -6.95 = -0.1 20x = -0.1 Divide each side by '20'. x = -0.005 Simplifying x = -0.005
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