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Simplifying 1.2x + -10 = 0.2x + 14 Reorder the terms: -10 + 1.2x = 0.2x + 14 Reorder the terms: -10 + 1.2x = 14 + 0.2x Solving -10 + 1.2x = 14 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -10 + 1.2x + -0.2x = 14 + 0.2x + -0.2x Combine like terms: 1.2x + -0.2x = 1x -10 + 1x = 14 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -10 + 1x = 14 + 0.0 -10 + 1x = 14 Add '10' to each side of the equation. -10 + 10 + 1x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 14 + 10 1x = 14 + 10 Combine like terms: 14 + 10 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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