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Simplifying 1.4 + 0.1x = 0.9x + -17.8 Reorder the terms: 1.4 + 0.1x = -17.8 + 0.9x Solving 1.4 + 0.1x = -17.8 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 1.4 + 0.1x + -0.9x = -17.8 + 0.9x + -0.9x Combine like terms: 0.1x + -0.9x = -0.8x 1.4 + -0.8x = -17.8 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 1.4 + -0.8x = -17.8 + 0.0 1.4 + -0.8x = -17.8 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -0.8x = -17.8 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -0.8x = -17.8 + -1.4 -0.8x = -17.8 + -1.4 Combine like terms: -17.8 + -1.4 = -19.2 -0.8x = -19.2 Divide each side by '-0.8'. x = 24 Simplifying x = 24
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