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Simplifying 2.9x + 49.3 = 6.1 + -7.9x Reorder the terms: 49.3 + 2.9x = 6.1 + -7.9x Solving 49.3 + 2.9x = 6.1 + -7.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.9x' to each side of the equation. 49.3 + 2.9x + 7.9x = 6.1 + -7.9x + 7.9x Combine like terms: 2.9x + 7.9x = 10.8x 49.3 + 10.8x = 6.1 + -7.9x + 7.9x Combine like terms: -7.9x + 7.9x = 0.0 49.3 + 10.8x = 6.1 + 0.0 49.3 + 10.8x = 6.1 Add '-49.3' to each side of the equation. 49.3 + -49.3 + 10.8x = 6.1 + -49.3 Combine like terms: 49.3 + -49.3 = 0.0 0.0 + 10.8x = 6.1 + -49.3 10.8x = 6.1 + -49.3 Combine like terms: 6.1 + -49.3 = -43.2 10.8x = -43.2 Divide each side by '10.8'. x = -4 Simplifying x = -4
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