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Simplifying 4y + -5x = 3(4x + -2y + 1) Reorder the terms: -5x + 4y = 3(4x + -2y + 1) Reorder the terms: -5x + 4y = 3(1 + 4x + -2y) -5x + 4y = (1 * 3 + 4x * 3 + -2y * 3) -5x + 4y = (3 + 12x + -6y) Solving -5x + 4y = 3 + 12x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -5x + -12x + 4y = 3 + 12x + -12x + -6y Combine like terms: -5x + -12x = -17x -17x + 4y = 3 + 12x + -12x + -6y Combine like terms: 12x + -12x = 0 -17x + 4y = 3 + 0 + -6y -17x + 4y = 3 + -6y Add '-4y' to each side of the equation. -17x + 4y + -4y = 3 + -6y + -4y Combine like terms: 4y + -4y = 0 -17x + 0 = 3 + -6y + -4y -17x = 3 + -6y + -4y Combine like terms: -6y + -4y = -10y -17x = 3 + -10y Divide each side by '-17'. x = -0.1764705882 + 0.5882352941y Simplifying x = -0.1764705882 + 0.5882352941y
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