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Simplifying 2.3x + 2 = 12.3x + 2.8x + -6 Reorder the terms: 2 + 2.3x = 12.3x + 2.8x + -6 Reorder the terms: 2 + 2.3x = -6 + 12.3x + 2.8x Combine like terms: 12.3x + 2.8x = 15.1x 2 + 2.3x = -6 + 15.1x Solving 2 + 2.3x = -6 + 15.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15.1x' to each side of the equation. 2 + 2.3x + -15.1x = -6 + 15.1x + -15.1x Combine like terms: 2.3x + -15.1x = -12.8x 2 + -12.8x = -6 + 15.1x + -15.1x Combine like terms: 15.1x + -15.1x = 0.0 2 + -12.8x = -6 + 0.0 2 + -12.8x = -6 Add '-2' to each side of the equation. 2 + -2 + -12.8x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -12.8x = -6 + -2 -12.8x = -6 + -2 Combine like terms: -6 + -2 = -8 -12.8x = -8 Divide each side by '-12.8'. x = 0.625 Simplifying x = 0.625
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