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Simplifying 4.2x + 32.6 = 4.8 + -9.7x Reorder the terms: 32.6 + 4.2x = 4.8 + -9.7x Solving 32.6 + 4.2x = 4.8 + -9.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.7x' to each side of the equation. 32.6 + 4.2x + 9.7x = 4.8 + -9.7x + 9.7x Combine like terms: 4.2x + 9.7x = 13.9x 32.6 + 13.9x = 4.8 + -9.7x + 9.7x Combine like terms: -9.7x + 9.7x = 0.0 32.6 + 13.9x = 4.8 + 0.0 32.6 + 13.9x = 4.8 Add '-32.6' to each side of the equation. 32.6 + -32.6 + 13.9x = 4.8 + -32.6 Combine like terms: 32.6 + -32.6 = 0.0 0.0 + 13.9x = 4.8 + -32.6 13.9x = 4.8 + -32.6 Combine like terms: 4.8 + -32.6 = -27.8 13.9x = -27.8 Divide each side by '13.9'. x = -2 Simplifying x = -2
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