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Simplifying 7x + 14y = 4(4x + -5) Reorder the terms: 7x + 14y = 4(-5 + 4x) 7x + 14y = (-5 * 4 + 4x * 4) 7x + 14y = (-20 + 16x) Solving 7x + 14y = -20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 7x + -16x + 14y = -20 + 16x + -16x Combine like terms: 7x + -16x = -9x -9x + 14y = -20 + 16x + -16x Combine like terms: 16x + -16x = 0 -9x + 14y = -20 + 0 -9x + 14y = -20 Add '-14y' to each side of the equation. -9x + 14y + -14y = -20 + -14y Combine like terms: 14y + -14y = 0 -9x + 0 = -20 + -14y -9x = -20 + -14y Divide each side by '-9'. x = 2.222222222 + 1.555555556y Simplifying x = 2.222222222 + 1.555555556y
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