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Simplifying 6(3x + -1) + -3(2y) = 10 Reorder the terms: 6(-1 + 3x) + -3(2y) = 10 (-1 * 6 + 3x * 6) + -3(2y) = 10 (-6 + 18x) + -3(2y) = 10 Remove parenthesis around (2y) -6 + 18x + -3 * 2y = 10 Multiply -3 * 2 -6 + 18x + -6y = 10 Solving -6 + 18x + -6y = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 18x + 6 + -6y = 10 + 6 Reorder the terms: -6 + 6 + 18x + -6y = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 18x + -6y = 10 + 6 18x + -6y = 10 + 6 Combine like terms: 10 + 6 = 16 18x + -6y = 16 Add '6y' to each side of the equation. 18x + -6y + 6y = 16 + 6y Combine like terms: -6y + 6y = 0 18x + 0 = 16 + 6y 18x = 16 + 6y Divide each side by '18'. x = 0.8888888889 + 0.3333333333y Simplifying x = 0.8888888889 + 0.3333333333y
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