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Simplifying 12.8x + -19.38 + -13.8x = 0.1x + -14.43 Reorder the terms: -19.38 + 12.8x + -13.8x = 0.1x + -14.43 Combine like terms: 12.8x + -13.8x = -1x -19.38 + -1x = 0.1x + -14.43 Reorder the terms: -19.38 + -1x = -14.43 + 0.1x Solving -19.38 + -1x = -14.43 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -19.38 + -1x + -0.1x = -14.43 + 0.1x + -0.1x Combine like terms: -1x + -0.1x = -1.1x -19.38 + -1.1x = -14.43 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -19.38 + -1.1x = -14.43 + 0.0 -19.38 + -1.1x = -14.43 Add '19.38' to each side of the equation. -19.38 + 19.38 + -1.1x = -14.43 + 19.38 Combine like terms: -19.38 + 19.38 = 0.00 0.00 + -1.1x = -14.43 + 19.38 -1.1x = -14.43 + 19.38 Combine like terms: -14.43 + 19.38 = 4.95 -1.1x = 4.95 Divide each side by '-1.1'. x = -4.5 Simplifying x = -4.5
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