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Simplifying 4.77(x + -2.33) + 12.46 = -55.3x + -5.93 Reorder the terms: 4.77(-2.33 + x) + 12.46 = -55.3x + -5.93 (-2.33 * 4.77 + x * 4.77) + 12.46 = -55.3x + -5.93 (-11.1141 + 4.77x) + 12.46 = -55.3x + -5.93 Reorder the terms: -11.1141 + 12.46 + 4.77x = -55.3x + -5.93 Combine like terms: -11.1141 + 12.46 = 1.3459 1.3459 + 4.77x = -55.3x + -5.93 Reorder the terms: 1.3459 + 4.77x = -5.93 + -55.3x Solving 1.3459 + 4.77x = -5.93 + -55.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55.3x' to each side of the equation. 1.3459 + 4.77x + 55.3x = -5.93 + -55.3x + 55.3x Combine like terms: 4.77x + 55.3x = 60.07x 1.3459 + 60.07x = -5.93 + -55.3x + 55.3x Combine like terms: -55.3x + 55.3x = 0.0 1.3459 + 60.07x = -5.93 + 0.0 1.3459 + 60.07x = -5.93 Add '-1.3459' to each side of the equation. 1.3459 + -1.3459 + 60.07x = -5.93 + -1.3459 Combine like terms: 1.3459 + -1.3459 = 0.0000 0.0000 + 60.07x = -5.93 + -1.3459 60.07x = -5.93 + -1.3459 Combine like terms: -5.93 + -1.3459 = -7.2759 60.07x = -7.2759 Divide each side by '60.07'. x = -0.121123689 Simplifying x = -0.121123689
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