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Simplifying 2.8x + 36.5 = 6.3 + -12.3x Reorder the terms: 36.5 + 2.8x = 6.3 + -12.3x Solving 36.5 + 2.8x = 6.3 + -12.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.3x' to each side of the equation. 36.5 + 2.8x + 12.3x = 6.3 + -12.3x + 12.3x Combine like terms: 2.8x + 12.3x = 15.1x 36.5 + 15.1x = 6.3 + -12.3x + 12.3x Combine like terms: -12.3x + 12.3x = 0.0 36.5 + 15.1x = 6.3 + 0.0 36.5 + 15.1x = 6.3 Add '-36.5' to each side of the equation. 36.5 + -36.5 + 15.1x = 6.3 + -36.5 Combine like terms: 36.5 + -36.5 = 0.0 0.0 + 15.1x = 6.3 + -36.5 15.1x = 6.3 + -36.5 Combine like terms: 6.3 + -36.5 = -30.2 15.1x = -30.2 Divide each side by '15.1'. x = -2 Simplifying x = -2
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