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Simplifying 55x + 10(0.3 + 0.2y) + 10y = 6 55x + (0.3 * 10 + 0.2y * 10) + 10y = 6 55x + (3 + 2y) + 10y = 6 Reorder the terms: 3 + 55x + 2y + 10y = 6 Combine like terms: 2y + 10y = 12y 3 + 55x + 12y = 6 Solving 3 + 55x + 12y = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 55x + -3 + 12y = 6 + -3 Reorder the terms: 3 + -3 + 55x + 12y = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 55x + 12y = 6 + -3 55x + 12y = 6 + -3 Combine like terms: 6 + -3 = 3 55x + 12y = 3 Add '-12y' to each side of the equation. 55x + 12y + -12y = 3 + -12y Combine like terms: 12y + -12y = 0 55x + 0 = 3 + -12y 55x = 3 + -12y Divide each side by '55'. x = 0.05454545455 + -0.2181818182y Simplifying x = 0.05454545455 + -0.2181818182y
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