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Simplifying 2(3x + -2) + 2y = 12x Reorder the terms: 2(-2 + 3x) + 2y = 12x (-2 * 2 + 3x * 2) + 2y = 12x (-4 + 6x) + 2y = 12x Solving -4 + 6x + 2y = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -4 + 6x + -12x + 2y = 12x + -12x Combine like terms: 6x + -12x = -6x -4 + -6x + 2y = 12x + -12x Combine like terms: 12x + -12x = 0 -4 + -6x + 2y = 0 Add '4' to each side of the equation. -4 + -6x + 4 + 2y = 0 + 4 Reorder the terms: -4 + 4 + -6x + 2y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -6x + 2y = 0 + 4 -6x + 2y = 0 + 4 Combine like terms: 0 + 4 = 4 -6x + 2y = 4 Add '-2y' to each side of the equation. -6x + 2y + -2y = 4 + -2y Combine like terms: 2y + -2y = 0 -6x + 0 = 4 + -2y -6x = 4 + -2y Divide each side by '-6'. x = -0.6666666667 + 0.3333333333y Simplifying x = -0.6666666667 + 0.3333333333y
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