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Simplifying 6y + -2x + 4 = 10y + 6x + -6 Reorder the terms: 4 + -2x + 6y = 10y + 6x + -6 Reorder the terms: 4 + -2x + 6y = -6 + 6x + 10y Solving 4 + -2x + 6y = -6 + 6x + 10y 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. 4 + -2x + -6x + 6y = -6 + 6x + -6x + 10y Combine like terms: -2x + -6x = -8x 4 + -8x + 6y = -6 + 6x + -6x + 10y Combine like terms: 6x + -6x = 0 4 + -8x + 6y = -6 + 0 + 10y 4 + -8x + 6y = -6 + 10y Add '-4' to each side of the equation. 4 + -8x + -4 + 6y = -6 + -4 + 10y Reorder the terms: 4 + -4 + -8x + 6y = -6 + -4 + 10y Combine like terms: 4 + -4 = 0 0 + -8x + 6y = -6 + -4 + 10y -8x + 6y = -6 + -4 + 10y Combine like terms: -6 + -4 = -10 -8x + 6y = -10 + 10y Add '-6y' to each side of the equation. -8x + 6y + -6y = -10 + 10y + -6y Combine like terms: 6y + -6y = 0 -8x + 0 = -10 + 10y + -6y -8x = -10 + 10y + -6y Combine like terms: 10y + -6y = 4y -8x = -10 + 4y Divide each side by '-8'. x = 1.25 + -0.5y Simplifying x = 1.25 + -0.5y
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