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Simplifying 4x + -6y + 17 + -7 + 8y + -6x = 0 Reorder the terms: 17 + -7 + 4x + -6x + -6y + 8y = 0 Combine like terms: 17 + -7 = 10 10 + 4x + -6x + -6y + 8y = 0 Combine like terms: 4x + -6x = -2x 10 + -2x + -6y + 8y = 0 Combine like terms: -6y + 8y = 2y 10 + -2x + 2y = 0 Solving 10 + -2x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -2x + -10 + 2y = 0 + -10 Reorder the terms: 10 + -10 + -2x + 2y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2x + 2y = 0 + -10 -2x + 2y = 0 + -10 Combine like terms: 0 + -10 = -10 -2x + 2y = -10 Add '-2y' to each side of the equation. -2x + 2y + -2y = -10 + -2y Combine like terms: 2y + -2y = 0 -2x + 0 = -10 + -2y -2x = -10 + -2y Divide each side by '-2'. x = 5 + y Simplifying x = 5 + y
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