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Simplifying 4.6 + -7.1x = 3.5x + -49.4 Reorder the terms: 4.6 + -7.1x = -49.4 + 3.5x Solving 4.6 + -7.1x = -49.4 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 4.6 + -7.1x + -3.5x = -49.4 + 3.5x + -3.5x Combine like terms: -7.1x + -3.5x = -10.6x 4.6 + -10.6x = -49.4 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 4.6 + -10.6x = -49.4 + 0.0 4.6 + -10.6x = -49.4 Add '-4.6' to each side of the equation. 4.6 + -4.6 + -10.6x = -49.4 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + -10.6x = -49.4 + -4.6 -10.6x = -49.4 + -4.6 Combine like terms: -49.4 + -4.6 = -54 -10.6x = -54 Divide each side by '-10.6'. x = 5.094339623 Simplifying x = 5.094339623
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