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Simplifying 2(3y + -1) + 3(3x + -7) = 6 Reorder the terms: 2(-1 + 3y) + 3(3x + -7) = 6 (-1 * 2 + 3y * 2) + 3(3x + -7) = 6 (-2 + 6y) + 3(3x + -7) = 6 Reorder the terms: -2 + 6y + 3(-7 + 3x) = 6 -2 + 6y + (-7 * 3 + 3x * 3) = 6 -2 + 6y + (-21 + 9x) = 6 Reorder the terms: -2 + -21 + 9x + 6y = 6 Combine like terms: -2 + -21 = -23 -23 + 9x + 6y = 6 Solving -23 + 9x + 6y = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 9x + 23 + 6y = 6 + 23 Reorder the terms: -23 + 23 + 9x + 6y = 6 + 23 Combine like terms: -23 + 23 = 0 0 + 9x + 6y = 6 + 23 9x + 6y = 6 + 23 Combine like terms: 6 + 23 = 29 9x + 6y = 29 Add '-6y' to each side of the equation. 9x + 6y + -6y = 29 + -6y Combine like terms: 6y + -6y = 0 9x + 0 = 29 + -6y 9x = 29 + -6y Divide each side by '9'. x = 3.222222222 + -0.6666666667y Simplifying x = 3.222222222 + -0.6666666667y
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