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Simplifying 1.6x + -18 + 0.9 = 0.1x + 6 Reorder the terms: -18 + 0.9 + 1.6x = 0.1x + 6 Combine like terms: -18 + 0.9 = -17.1 -17.1 + 1.6x = 0.1x + 6 Reorder the terms: -17.1 + 1.6x = 6 + 0.1x Solving -17.1 + 1.6x = 6 + 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. -17.1 + 1.6x + -0.1x = 6 + 0.1x + -0.1x Combine like terms: 1.6x + -0.1x = 1.5x -17.1 + 1.5x = 6 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -17.1 + 1.5x = 6 + 0.0 -17.1 + 1.5x = 6 Add '17.1' to each side of the equation. -17.1 + 17.1 + 1.5x = 6 + 17.1 Combine like terms: -17.1 + 17.1 = 0.0 0.0 + 1.5x = 6 + 17.1 1.5x = 6 + 17.1 Combine like terms: 6 + 17.1 = 23.1 1.5x = 23.1 Divide each side by '1.5'. x = 15.4 Simplifying x = 15.4
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