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Simplifying 10.9x + 33.48 = -9.1x + 32.18 Reorder the terms: 33.48 + 10.9x = -9.1x + 32.18 Reorder the terms: 33.48 + 10.9x = 32.18 + -9.1x Solving 33.48 + 10.9x = 32.18 + -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. 33.48 + 10.9x + 9.1x = 32.18 + -9.1x + 9.1x Combine like terms: 10.9x + 9.1x = 20x 33.48 + 20x = 32.18 + -9.1x + 9.1x Combine like terms: -9.1x + 9.1x = 0.0 33.48 + 20x = 32.18 + 0.0 33.48 + 20x = 32.18 Add '-33.48' to each side of the equation. 33.48 + -33.48 + 20x = 32.18 + -33.48 Combine like terms: 33.48 + -33.48 = 0.00 0.00 + 20x = 32.18 + -33.48 20x = 32.18 + -33.48 Combine like terms: 32.18 + -33.48 = -1.3 20x = -1.3 Divide each side by '20'. x = -0.065 Simplifying x = -0.065
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