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Simplifying 12.2x + 19.4 = -2.7x + 93.9 Reorder the terms: 19.4 + 12.2x = -2.7x + 93.9 Reorder the terms: 19.4 + 12.2x = 93.9 + -2.7x Solving 19.4 + 12.2x = 93.9 + -2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.7x' to each side of the equation. 19.4 + 12.2x + 2.7x = 93.9 + -2.7x + 2.7x Combine like terms: 12.2x + 2.7x = 14.9x 19.4 + 14.9x = 93.9 + -2.7x + 2.7x Combine like terms: -2.7x + 2.7x = 0.0 19.4 + 14.9x = 93.9 + 0.0 19.4 + 14.9x = 93.9 Add '-19.4' to each side of the equation. 19.4 + -19.4 + 14.9x = 93.9 + -19.4 Combine like terms: 19.4 + -19.4 = 0.0 0.0 + 14.9x = 93.9 + -19.4 14.9x = 93.9 + -19.4 Combine like terms: 93.9 + -19.4 = 74.5 14.9x = 74.5 Divide each side by '14.9'. x = 5 Simplifying x = 5
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