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Simplifying -14x + -2y + 32 = -4y + -2x + 38 Reorder the terms: 32 + -14x + -2y = -4y + -2x + 38 Reorder the terms: 32 + -14x + -2y = 38 + -2x + -4y Solving 32 + -14x + -2y = 38 + -2x + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 32 + -14x + 2x + -2y = 38 + -2x + 2x + -4y Combine like terms: -14x + 2x = -12x 32 + -12x + -2y = 38 + -2x + 2x + -4y Combine like terms: -2x + 2x = 0 32 + -12x + -2y = 38 + 0 + -4y 32 + -12x + -2y = 38 + -4y Add '-32' to each side of the equation. 32 + -12x + -32 + -2y = 38 + -32 + -4y Reorder the terms: 32 + -32 + -12x + -2y = 38 + -32 + -4y Combine like terms: 32 + -32 = 0 0 + -12x + -2y = 38 + -32 + -4y -12x + -2y = 38 + -32 + -4y Combine like terms: 38 + -32 = 6 -12x + -2y = 6 + -4y Add '2y' to each side of the equation. -12x + -2y + 2y = 6 + -4y + 2y Combine like terms: -2y + 2y = 0 -12x + 0 = 6 + -4y + 2y -12x = 6 + -4y + 2y Combine like terms: -4y + 2y = -2y -12x = 6 + -2y Divide each side by '-12'. x = -0.5 + 0.1666666667y Simplifying x = -0.5 + 0.1666666667y
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