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Simplifying 12 + 0.2x = 0.3x + 8 Reorder the terms: 12 + 0.2x = 8 + 0.3x Solving 12 + 0.2x = 8 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 12 + 0.2x + -0.3x = 8 + 0.3x + -0.3x Combine like terms: 0.2x + -0.3x = -0.1x 12 + -0.1x = 8 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 12 + -0.1x = 8 + 0.0 12 + -0.1x = 8 Add '-12' to each side of the equation. 12 + -12 + -0.1x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -0.1x = 8 + -12 -0.1x = 8 + -12 Combine like terms: 8 + -12 = -4 -0.1x = -4 Divide each side by '-0.1'. x = 40 Simplifying x = 40
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