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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 = -7x -7x + 4y = 3 + 12x + -12x + -6y Combine like terms: 12x + -12x = 0 -7x + 4y = 3 + 0 + -6y -7x + 4y = 3 + -6y Add '-4y' to each side of the equation. -7x + 4y + -4y = 3 + -6y + -4y Combine like terms: 4y + -4y = 0 -7x + 0 = 3 + -6y + -4y -7x = 3 + -6y + -4y Combine like terms: -6y + -4y = -10y -7x = 3 + -10y Divide each side by '-7'. x = -0.4285714286 + 1.428571429y Simplifying x = -0.4285714286 + 1.428571429y
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