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Simplifying 0.2(90x + 42) = 10x + 10.4 + 2x Reorder the terms: 0.2(42 + 90x) = 10x + 10.4 + 2x (42 * 0.2 + 90x * 0.2) = 10x + 10.4 + 2x (8.4 + 18x) = 10x + 10.4 + 2x Reorder the terms: 8.4 + 18x = 10.4 + 10x + 2x Combine like terms: 10x + 2x = 12x 8.4 + 18x = 10.4 + 12x Solving 8.4 + 18x = 10.4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8.4 + 18x + -12x = 10.4 + 12x + -12x Combine like terms: 18x + -12x = 6x 8.4 + 6x = 10.4 + 12x + -12x Combine like terms: 12x + -12x = 0 8.4 + 6x = 10.4 + 0 8.4 + 6x = 10.4 Add '-8.4' to each side of the equation. 8.4 + -8.4 + 6x = 10.4 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + 6x = 10.4 + -8.4 6x = 10.4 + -8.4 Combine like terms: 10.4 + -8.4 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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