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Simplifying 0.2(1x + 19) + 0.6x = 18 Reorder the terms: 0.2(19 + 1x) + 0.6x = 18 (19 * 0.2 + 1x * 0.2) + 0.6x = 18 (3.8 + 0.2x) + 0.6x = 18 Combine like terms: 0.2x + 0.6x = 0.8x 3.8 + 0.8x = 18 Solving 3.8 + 0.8x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.8' to each side of the equation. 3.8 + -3.8 + 0.8x = 18 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + 0.8x = 18 + -3.8 0.8x = 18 + -3.8 Combine like terms: 18 + -3.8 = 14.2 0.8x = 14.2 Divide each side by '0.8'. x = 17.75 Simplifying x = 17.75
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