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Simplifying 0.5xh + 0.33x(h + -6) = 0.83xh + 2 Reorder the terms: 0.5hx + 0.33x(-6 + h) = 0.83xh + 2 0.5hx + (-6 * 0.33x + h * 0.33x) = 0.83xh + 2 Reorder the terms: 0.5hx + (0.33hx + -1.98x) = 0.83xh + 2 0.5hx + (0.33hx + -1.98x) = 0.83xh + 2 Combine like terms: 0.5hx + 0.33hx = 0.83hx 0.83hx + -1.98x = 0.83xh + 2 Reorder the terms: 0.83hx + -1.98x = 2 + 0.83hx Add '-0.83hx' to each side of the equation. 0.83hx + -0.83hx + -1.98x = 2 + 0.83hx + -0.83hx Combine like terms: 0.83hx + -0.83hx = 0.00 0.00 + -1.98x = 2 + 0.83hx + -0.83hx -1.98x = 2 + 0.83hx + -0.83hx Combine like terms: 0.83hx + -0.83hx = 0.00 -1.98x = 2 + 0.00 -1.98x = 2 Solving -1.98x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-1.98'. x = -1.01010101 Simplifying x = -1.01010101
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