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Simplifying 6y + 2x + -4 + -10y + 11 = x + y + -4 Reorder the terms: -4 + 11 + 2x + 6y + -10y = x + y + -4 Combine like terms: -4 + 11 = 7 7 + 2x + 6y + -10y = x + y + -4 Combine like terms: 6y + -10y = -4y 7 + 2x + -4y = x + y + -4 Reorder the terms: 7 + 2x + -4y = -4 + x + y Solving 7 + 2x + -4y = -4 + x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 2x + -1x + -4y = -4 + x + -1x + y Combine like terms: 2x + -1x = 1x 7 + 1x + -4y = -4 + x + -1x + y Combine like terms: x + -1x = 0 7 + 1x + -4y = -4 + 0 + y 7 + 1x + -4y = -4 + y Add '-7' to each side of the equation. 7 + 1x + -7 + -4y = -4 + -7 + y Reorder the terms: 7 + -7 + 1x + -4y = -4 + -7 + y Combine like terms: 7 + -7 = 0 0 + 1x + -4y = -4 + -7 + y 1x + -4y = -4 + -7 + y Combine like terms: -4 + -7 = -11 1x + -4y = -11 + y Add '4y' to each side of the equation. 1x + -4y + 4y = -11 + y + 4y Combine like terms: -4y + 4y = 0 1x + 0 = -11 + y + 4y 1x = -11 + y + 4y Combine like terms: y + 4y = 5y 1x = -11 + 5y Divide each side by '1'. x = -11 + 5y Simplifying x = -11 + 5y
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