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Simplifying 3(2x + -4) + 3y = 3x Reorder the terms: 3(-4 + 2x) + 3y = 3x (-4 * 3 + 2x * 3) + 3y = 3x (-12 + 6x) + 3y = 3x Solving -12 + 6x + 3y = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 6x + -3x + 3y = 3x + -3x Combine like terms: 6x + -3x = 3x -12 + 3x + 3y = 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 3x + 3y = 0 Add '12' to each side of the equation. -12 + 3x + 12 + 3y = 0 + 12 Reorder the terms: -12 + 12 + 3x + 3y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3x + 3y = 0 + 12 3x + 3y = 0 + 12 Combine like terms: 0 + 12 = 12 3x + 3y = 12 Add '-3y' to each side of the equation. 3x + 3y + -3y = 12 + -3y Combine like terms: 3y + -3y = 0 3x + 0 = 12 + -3y 3x = 12 + -3y Divide each side by '3'. x = 4 + -1y Simplifying x = 4 + -1y
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