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Simplifying 4.2x + 42.1 = 14.7 + -9.5x Reorder the terms: 42.1 + 4.2x = 14.7 + -9.5x Solving 42.1 + 4.2x = 14.7 + -9.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.5x' to each side of the equation. 42.1 + 4.2x + 9.5x = 14.7 + -9.5x + 9.5x Combine like terms: 4.2x + 9.5x = 13.7x 42.1 + 13.7x = 14.7 + -9.5x + 9.5x Combine like terms: -9.5x + 9.5x = 0.0 42.1 + 13.7x = 14.7 + 0.0 42.1 + 13.7x = 14.7 Add '-42.1' to each side of the equation. 42.1 + -42.1 + 13.7x = 14.7 + -42.1 Combine like terms: 42.1 + -42.1 = 0.0 0.0 + 13.7x = 14.7 + -42.1 13.7x = 14.7 + -42.1 Combine like terms: 14.7 + -42.1 = -27.4 13.7x = -27.4 Divide each side by '13.7'. x = -2 Simplifying x = -2
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