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Simplifying -3x + -4y + 2 = 8y + -6x + -4 Reorder the terms: 2 + -3x + -4y = 8y + -6x + -4 Reorder the terms: 2 + -3x + -4y = -4 + -6x + 8y Solving 2 + -3x + -4y = -4 + -6x + 8y 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. 2 + -3x + 6x + -4y = -4 + -6x + 6x + 8y Combine like terms: -3x + 6x = 3x 2 + 3x + -4y = -4 + -6x + 6x + 8y Combine like terms: -6x + 6x = 0 2 + 3x + -4y = -4 + 0 + 8y 2 + 3x + -4y = -4 + 8y Add '-2' to each side of the equation. 2 + 3x + -2 + -4y = -4 + -2 + 8y Reorder the terms: 2 + -2 + 3x + -4y = -4 + -2 + 8y Combine like terms: 2 + -2 = 0 0 + 3x + -4y = -4 + -2 + 8y 3x + -4y = -4 + -2 + 8y Combine like terms: -4 + -2 = -6 3x + -4y = -6 + 8y Add '4y' to each side of the equation. 3x + -4y + 4y = -6 + 8y + 4y Combine like terms: -4y + 4y = 0 3x + 0 = -6 + 8y + 4y 3x = -6 + 8y + 4y Combine like terms: 8y + 4y = 12y 3x = -6 + 12y Divide each side by '3'. x = -2 + 4y Simplifying x = -2 + 4y
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