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Simplifying 3y + 3x + -6 = 12x + 6 Reorder the terms: -6 + 3x + 3y = 12x + 6 Reorder the terms: -6 + 3x + 3y = 6 + 12x Solving -6 + 3x + 3y = 6 + 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. -6 + 3x + -12x + 3y = 6 + 12x + -12x Combine like terms: 3x + -12x = -9x -6 + -9x + 3y = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -9x + 3y = 6 + 0 -6 + -9x + 3y = 6 Add '6' to each side of the equation. -6 + -9x + 6 + 3y = 6 + 6 Reorder the terms: -6 + 6 + -9x + 3y = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -9x + 3y = 6 + 6 -9x + 3y = 6 + 6 Combine like terms: 6 + 6 = 12 -9x + 3y = 12 Add '-3y' to each side of the equation. -9x + 3y + -3y = 12 + -3y Combine like terms: 3y + -3y = 0 -9x + 0 = 12 + -3y -9x = 12 + -3y Divide each side by '-9'. x = -1.333333333 + 0.3333333333y Simplifying x = -1.333333333 + 0.3333333333y
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