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Simplifying 9.1x + 5.42 = 10.9x + 4.50 Reorder the terms: 5.42 + 9.1x = 10.9x + 4.50 Reorder the terms: 5.42 + 9.1x = 4.50 + 10.9x Solving 5.42 + 9.1x = 4.50 + 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. 5.42 + 9.1x + -10.9x = 4.50 + 10.9x + -10.9x Combine like terms: 9.1x + -10.9x = -1.8x 5.42 + -1.8x = 4.50 + 10.9x + -10.9x Combine like terms: 10.9x + -10.9x = 0.0 5.42 + -1.8x = 4.50 + 0.0 5.42 + -1.8x = 4.50 Add '-5.42' to each side of the equation. 5.42 + -5.42 + -1.8x = 4.50 + -5.42 Combine like terms: 5.42 + -5.42 = 0.00 0.00 + -1.8x = 4.50 + -5.42 -1.8x = 4.50 + -5.42 Combine like terms: 4.50 + -5.42 = -0.92 -1.8x = -0.92 Divide each side by '-1.8'. x = 0.5111111111 Simplifying x = 0.5111111111
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