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Simplifying 5(3x + y) + -16 = 7x + y (3x * 5 + y * 5) + -16 = 7x + y (15x + 5y) + -16 = 7x + y Reorder the terms: -16 + 15x + 5y = 7x + y Solving -16 + 15x + 5y = 7x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -16 + 15x + -7x + 5y = 7x + -7x + y Combine like terms: 15x + -7x = 8x -16 + 8x + 5y = 7x + -7x + y Combine like terms: 7x + -7x = 0 -16 + 8x + 5y = 0 + y -16 + 8x + 5y = y Add '16' to each side of the equation. -16 + 8x + 16 + 5y = 16 + y Reorder the terms: -16 + 16 + 8x + 5y = 16 + y Combine like terms: -16 + 16 = 0 0 + 8x + 5y = 16 + y 8x + 5y = 16 + y Add '-5y' to each side of the equation. 8x + 5y + -5y = 16 + y + -5y Combine like terms: 5y + -5y = 0 8x + 0 = 16 + y + -5y 8x = 16 + y + -5y Combine like terms: y + -5y = -4y 8x = 16 + -4y Divide each side by '8'. x = 2 + -0.5y Simplifying x = 2 + -0.5y
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