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Simplifying 143.3 + -2.8x = 8.2x + 36.6 Reorder the terms: 143.3 + -2.8x = 36.6 + 8.2x Solving 143.3 + -2.8x = 36.6 + 8.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.2x' to each side of the equation. 143.3 + -2.8x + -8.2x = 36.6 + 8.2x + -8.2x Combine like terms: -2.8x + -8.2x = -11x 143.3 + -11x = 36.6 + 8.2x + -8.2x Combine like terms: 8.2x + -8.2x = 0.0 143.3 + -11x = 36.6 + 0.0 143.3 + -11x = 36.6 Add '-143.3' to each side of the equation. 143.3 + -143.3 + -11x = 36.6 + -143.3 Combine like terms: 143.3 + -143.3 = 0.0 0.0 + -11x = 36.6 + -143.3 -11x = 36.6 + -143.3 Combine like terms: 36.6 + -143.3 = -106.7 -11x = -106.7 Divide each side by '-11'. x = 9.7 Simplifying x = 9.7
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