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Simplifying 10.7x + 42.94 = 9.3x + 41.82 Reorder the terms: 42.94 + 10.7x = 9.3x + 41.82 Reorder the terms: 42.94 + 10.7x = 41.82 + 9.3x Solving 42.94 + 10.7x = 41.82 + 9.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.3x' to each side of the equation. 42.94 + 10.7x + -9.3x = 41.82 + 9.3x + -9.3x Combine like terms: 10.7x + -9.3x = 1.4x 42.94 + 1.4x = 41.82 + 9.3x + -9.3x Combine like terms: 9.3x + -9.3x = 0.0 42.94 + 1.4x = 41.82 + 0.0 42.94 + 1.4x = 41.82 Add '-42.94' to each side of the equation. 42.94 + -42.94 + 1.4x = 41.82 + -42.94 Combine like terms: 42.94 + -42.94 = 0.00 0.00 + 1.4x = 41.82 + -42.94 1.4x = 41.82 + -42.94 Combine like terms: 41.82 + -42.94 = -1.12 1.4x = -1.12 Divide each side by '1.4'. x = -0.8 Simplifying x = -0.8
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