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Simplifying 12x + -1(2y + -12) = 1 + 9x Reorder the terms: 12x + -1(-12 + 2y) = 1 + 9x 12x + (-12 * -1 + 2y * -1) = 1 + 9x 12x + (12 + -2y) = 1 + 9x Reorder the terms: 12 + 12x + -2y = 1 + 9x Solving 12 + 12x + -2y = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 12x + -9x + -2y = 1 + 9x + -9x Combine like terms: 12x + -9x = 3x 12 + 3x + -2y = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + 3x + -2y = 1 + 0 12 + 3x + -2y = 1 Add '-12' to each side of the equation. 12 + 3x + -12 + -2y = 1 + -12 Reorder the terms: 12 + -12 + 3x + -2y = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 3x + -2y = 1 + -12 3x + -2y = 1 + -12 Combine like terms: 1 + -12 = -11 3x + -2y = -11 Add '2y' to each side of the equation. 3x + -2y + 2y = -11 + 2y Combine like terms: -2y + 2y = 0 3x + 0 = -11 + 2y 3x = -11 + 2y Divide each side by '3'. x = -3.666666667 + 0.6666666667y Simplifying x = -3.666666667 + 0.6666666667y
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