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