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Simplifying 8.3x + 55.58 = 11.7x + 54.68 Reorder the terms: 55.58 + 8.3x = 11.7x + 54.68 Reorder the terms: 55.58 + 8.3x = 54.68 + 11.7x Solving 55.58 + 8.3x = 54.68 + 11.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.7x' to each side of the equation. 55.58 + 8.3x + -11.7x = 54.68 + 11.7x + -11.7x Combine like terms: 8.3x + -11.7x = -3.4x 55.58 + -3.4x = 54.68 + 11.7x + -11.7x Combine like terms: 11.7x + -11.7x = 0.0 55.58 + -3.4x = 54.68 + 0.0 55.58 + -3.4x = 54.68 Add '-55.58' to each side of the equation. 55.58 + -55.58 + -3.4x = 54.68 + -55.58 Combine like terms: 55.58 + -55.58 = 0.00 0.00 + -3.4x = 54.68 + -55.58 -3.4x = 54.68 + -55.58 Combine like terms: 54.68 + -55.58 = -0.9 -3.4x = -0.9 Divide each side by '-3.4'. x = 0.2647058824 Simplifying x = 0.2647058824
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