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Simplifying 3(3x + 1) + -2(y + -2) = (1) Reorder the terms: 3(1 + 3x) + -2(y + -2) = (1) (1 * 3 + 3x * 3) + -2(y + -2) = (1) (3 + 9x) + -2(y + -2) = (1) Reorder the terms: 3 + 9x + -2(-2 + y) = (1) 3 + 9x + (-2 * -2 + y * -2) = (1) 3 + 9x + (4 + -2y) = (1) Reorder the terms: 3 + 4 + 9x + -2y = (1) Combine like terms: 3 + 4 = 7 7 + 9x + -2y = (1) 7 + 9x + -2y = 1 Solving 7 + 9x + -2y = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 9x + -7 + -2y = 1 + -7 Reorder the terms: 7 + -7 + 9x + -2y = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 9x + -2y = 1 + -7 9x + -2y = 1 + -7 Combine like terms: 1 + -7 = -6 9x + -2y = -6 Add '2y' to each side of the equation. 9x + -2y + 2y = -6 + 2y Combine like terms: -2y + 2y = 0 9x + 0 = -6 + 2y 9x = -6 + 2y Divide each side by '9'. x = -0.6666666667 + 0.2222222222y Simplifying x = -0.6666666667 + 0.2222222222y
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