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Simplifying 4(x + -20) = 2(9 + 6x + -8 + y) Reorder the terms: 4(-20 + x) = 2(9 + 6x + -8 + y) (-20 * 4 + x * 4) = 2(9 + 6x + -8 + y) (-80 + 4x) = 2(9 + 6x + -8 + y) Reorder the terms: -80 + 4x = 2(9 + -8 + 6x + y) Combine like terms: 9 + -8 = 1 -80 + 4x = 2(1 + 6x + y) -80 + 4x = (1 * 2 + 6x * 2 + y * 2) -80 + 4x = (2 + 12x + 2y) Solving -80 + 4x = 2 + 12x + 2y 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. -80 + 4x + -12x = 2 + 12x + -12x + 2y Combine like terms: 4x + -12x = -8x -80 + -8x = 2 + 12x + -12x + 2y Combine like terms: 12x + -12x = 0 -80 + -8x = 2 + 0 + 2y -80 + -8x = 2 + 2y Add '80' to each side of the equation. -80 + 80 + -8x = 2 + 80 + 2y Combine like terms: -80 + 80 = 0 0 + -8x = 2 + 80 + 2y -8x = 2 + 80 + 2y Combine like terms: 2 + 80 = 82 -8x = 82 + 2y Divide each side by '-8'. x = -10.25 + -0.25y Simplifying x = -10.25 + -0.25y
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