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Simplifying 3x + 4y + -9 = 6x + 3 Reorder the terms: -9 + 3x + 4y = 6x + 3 Reorder the terms: -9 + 3x + 4y = 3 + 6x Solving -9 + 3x + 4y = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 3x + -6x + 4y = 3 + 6x + -6x Combine like terms: 3x + -6x = -3x -9 + -3x + 4y = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -3x + 4y = 3 + 0 -9 + -3x + 4y = 3 Add '9' to each side of the equation. -9 + -3x + 9 + 4y = 3 + 9 Reorder the terms: -9 + 9 + -3x + 4y = 3 + 9 Combine like terms: -9 + 9 = 0 0 + -3x + 4y = 3 + 9 -3x + 4y = 3 + 9 Combine like terms: 3 + 9 = 12 -3x + 4y = 12 Add '-4y' to each side of the equation. -3x + 4y + -4y = 12 + -4y Combine like terms: 4y + -4y = 0 -3x + 0 = 12 + -4y -3x = 12 + -4y Divide each side by '-3'. x = -4 + 1.333333333y Simplifying x = -4 + 1.333333333y
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