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Simplifying 1.5 + 0.1x = 0.8x + -11.8 Reorder the terms: 1.5 + 0.1x = -11.8 + 0.8x Solving 1.5 + 0.1x = -11.8 + 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. 1.5 + 0.1x + -0.8x = -11.8 + 0.8x + -0.8x Combine like terms: 0.1x + -0.8x = -0.7x 1.5 + -0.7x = -11.8 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 1.5 + -0.7x = -11.8 + 0.0 1.5 + -0.7x = -11.8 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -0.7x = -11.8 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.7x = -11.8 + -1.5 -0.7x = -11.8 + -1.5 Combine like terms: -11.8 + -1.5 = -13.3 -0.7x = -13.3 Divide each side by '-0.7'. x = 19 Simplifying x = 19
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