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Simplifying 4(y + -2) + -3x = -5x + 6y + -12 Reorder the terms: 4(-2 + y) + -3x = -5x + 6y + -12 (-2 * 4 + y * 4) + -3x = -5x + 6y + -12 (-8 + 4y) + -3x = -5x + 6y + -12 Reorder the terms: -8 + -3x + 4y = -5x + 6y + -12 Reorder the terms: -8 + -3x + 4y = -12 + -5x + 6y Solving -8 + -3x + 4y = -12 + -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. -8 + -3x + 5x + 4y = -12 + -5x + 5x + 6y Combine like terms: -3x + 5x = 2x -8 + 2x + 4y = -12 + -5x + 5x + 6y Combine like terms: -5x + 5x = 0 -8 + 2x + 4y = -12 + 0 + 6y -8 + 2x + 4y = -12 + 6y Add '8' to each side of the equation. -8 + 2x + 8 + 4y = -12 + 8 + 6y Reorder the terms: -8 + 8 + 2x + 4y = -12 + 8 + 6y Combine like terms: -8 + 8 = 0 0 + 2x + 4y = -12 + 8 + 6y 2x + 4y = -12 + 8 + 6y Combine like terms: -12 + 8 = -4 2x + 4y = -4 + 6y Add '-4y' to each side of the equation. 2x + 4y + -4y = -4 + 6y + -4y Combine like terms: 4y + -4y = 0 2x + 0 = -4 + 6y + -4y 2x = -4 + 6y + -4y Combine like terms: 6y + -4y = 2y 2x = -4 + 2y Divide each side by '2'. x = -2 + y Simplifying x = -2 + y
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