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Simplifying 1.2 + 0.1x = 0.8x + -14.2 Reorder the terms: 1.2 + 0.1x = -14.2 + 0.8x Solving 1.2 + 0.1x = -14.2 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 1.2 + 0.1x + -0.8x = -14.2 + 0.8x + -0.8x Combine like terms: 0.1x + -0.8x = -0.7x 1.2 + -0.7x = -14.2 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 1.2 + -0.7x = -14.2 + 0.0 1.2 + -0.7x = -14.2 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.7x = -14.2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.7x = -14.2 + -1.2 -0.7x = -14.2 + -1.2 Combine like terms: -14.2 + -1.2 = -15.4 -0.7x = -15.4 Divide each side by '-0.7'. x = 22 Simplifying x = 22
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