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Simplifying 0.2x + 10 = 0.3x + 6 Reorder the terms: 10 + 0.2x = 0.3x + 6 Reorder the terms: 10 + 0.2x = 6 + 0.3x Solving 10 + 0.2x = 6 + 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. 10 + 0.2x + -0.3x = 6 + 0.3x + -0.3x Combine like terms: 0.2x + -0.3x = -0.1x 10 + -0.1x = 6 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 10 + -0.1x = 6 + 0.0 10 + -0.1x = 6 Add '-10' to each side of the equation. 10 + -10 + -0.1x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -0.1x = 6 + -10 -0.1x = 6 + -10 Combine like terms: 6 + -10 = -4 -0.1x = -4 Divide each side by '-0.1'. x = 40 Simplifying x = 40
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