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Simplifying 2x + y + -3x + 4y + -6 + 5y = 0 Reorder the terms: -6 + 2x + -3x + y + 4y + 5y = 0 Combine like terms: 2x + -3x = -1x -6 + -1x + y + 4y + 5y = 0 Combine like terms: y + 4y = 5y -6 + -1x + 5y + 5y = 0 Combine like terms: 5y + 5y = 10y -6 + -1x + 10y = 0 Solving -6 + -1x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1x + 6 + 10y = 0 + 6 Reorder the terms: -6 + 6 + -1x + 10y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x + 10y = 0 + 6 -1x + 10y = 0 + 6 Combine like terms: 0 + 6 = 6 -1x + 10y = 6 Add '-10y' to each side of the equation. -1x + 10y + -10y = 6 + -10y Combine like terms: 10y + -10y = 0 -1x + 0 = 6 + -10y -1x = 6 + -10y Divide each side by '-1'. x = -6 + 10y Simplifying x = -6 + 10y
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