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Simplifying 2.4x + 47.2 = 14.0 + -14.2x Reorder the terms: 47.2 + 2.4x = 14.0 + -14.2x Solving 47.2 + 2.4x = 14.0 + -14.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14.2x' to each side of the equation. 47.2 + 2.4x + 14.2x = 14.0 + -14.2x + 14.2x Combine like terms: 2.4x + 14.2x = 16.6x 47.2 + 16.6x = 14.0 + -14.2x + 14.2x Combine like terms: -14.2x + 14.2x = 0.0 47.2 + 16.6x = 14.0 + 0.0 47.2 + 16.6x = 14.0 Add '-47.2' to each side of the equation. 47.2 + -47.2 + 16.6x = 14.0 + -47.2 Combine like terms: 47.2 + -47.2 = 0.0 0.0 + 16.6x = 14.0 + -47.2 16.6x = 14.0 + -47.2 Combine like terms: 14.0 + -47.2 = -33.2 16.6x = -33.2 Divide each side by '16.6'. x = -2 Simplifying x = -2
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