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Simplifying 1.4 + 10.8x = 97.4 + -1.2x Solving 1.4 + 10.8x = 97.4 + -1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2x' to each side of the equation. 1.4 + 10.8x + 1.2x = 97.4 + -1.2x + 1.2x Combine like terms: 10.8x + 1.2x = 12x 1.4 + 12x = 97.4 + -1.2x + 1.2x Combine like terms: -1.2x + 1.2x = 0.0 1.4 + 12x = 97.4 + 0.0 1.4 + 12x = 97.4 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 12x = 97.4 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 12x = 97.4 + -1.4 12x = 97.4 + -1.4 Combine like terms: 97.4 + -1.4 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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