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Simplifying 0.2(8x + -90) + 0.9x = 0.1x + 6 Reorder the terms: 0.2(-90 + 8x) + 0.9x = 0.1x + 6 (-90 * 0.2 + 8x * 0.2) + 0.9x = 0.1x + 6 (-18 + 1.6x) + 0.9x = 0.1x + 6 Combine like terms: 1.6x + 0.9x = 2.5x -18 + 2.5x = 0.1x + 6 Reorder the terms: -18 + 2.5x = 6 + 0.1x Solving -18 + 2.5x = 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. -18 + 2.5x + -0.1x = 6 + 0.1x + -0.1x Combine like terms: 2.5x + -0.1x = 2.4x -18 + 2.4x = 6 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -18 + 2.4x = 6 + 0.0 -18 + 2.4x = 6 Add '18' to each side of the equation. -18 + 18 + 2.4x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 2.4x = 6 + 18 2.4x = 6 + 18 Combine like terms: 6 + 18 = 24 2.4x = 24 Divide each side by '2.4'. x = 10 Simplifying x = 10
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