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Simplifying 8(x + -2) = 3(x + 2y) Reorder the terms: 8(-2 + x) = 3(x + 2y) (-2 * 8 + x * 8) = 3(x + 2y) (-16 + 8x) = 3(x + 2y) -16 + 8x = (x * 3 + 2y * 3) -16 + 8x = (3x + 6y) Solving -16 + 8x = 3x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -16 + 8x + -3x = 3x + -3x + 6y Combine like terms: 8x + -3x = 5x -16 + 5x = 3x + -3x + 6y Combine like terms: 3x + -3x = 0 -16 + 5x = 0 + 6y -16 + 5x = 6y Add '16' to each side of the equation. -16 + 16 + 5x = 16 + 6y Combine like terms: -16 + 16 = 0 0 + 5x = 16 + 6y 5x = 16 + 6y Divide each side by '5'. x = 3.2 + 1.2y Simplifying x = 3.2 + 1.2y
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