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Simplifying 4.7x + 4.1 = -2.3x + 0.53x Reorder the terms: 4.1 + 4.7x = -2.3x + 0.53x Combine like terms: -2.3x + 0.53x = -1.77x 4.1 + 4.7x = -1.77x Solving 4.1 + 4.7x = -1.77x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.77x' to each side of the equation. 4.1 + 4.7x + 1.77x = -1.77x + 1.77x Combine like terms: 4.7x + 1.77x = 6.47x 4.1 + 6.47x = -1.77x + 1.77x Combine like terms: -1.77x + 1.77x = 0.00 4.1 + 6.47x = 0.00 Add '-4.1' to each side of the equation. 4.1 + -4.1 + 6.47x = 0.00 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + 6.47x = 0.00 + -4.1 6.47x = 0.00 + -4.1 Combine like terms: 0.00 + -4.1 = -4.1 6.47x = -4.1 Divide each side by '6.47'. x = -0.6336939722 Simplifying x = -0.6336939722
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