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Simplifying 3x + -4y + 8 + -5x + 6x + -2x = 0 Reorder the terms: 8 + 3x + -5x + 6x + -2x + -4y = 0 Combine like terms: 3x + -5x = -2x 8 + -2x + 6x + -2x + -4y = 0 Combine like terms: -2x + 6x = 4x 8 + 4x + -2x + -4y = 0 Combine like terms: 4x + -2x = 2x 8 + 2x + -4y = 0 Solving 8 + 2x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2x + -8 + -4y = 0 + -8 Reorder the terms: 8 + -8 + 2x + -4y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2x + -4y = 0 + -8 2x + -4y = 0 + -8 Combine like terms: 0 + -8 = -8 2x + -4y = -8 Add '4y' to each side of the equation. 2x + -4y + 4y = -8 + 4y Combine like terms: -4y + 4y = 0 2x + 0 = -8 + 4y 2x = -8 + 4y Divide each side by '2'. x = -4 + 2y Simplifying x = -4 + 2y
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