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Simplifying 4(3x + -5) + 2y = 8x Reorder the terms: 4(-5 + 3x) + 2y = 8x (-5 * 4 + 3x * 4) + 2y = 8x (-20 + 12x) + 2y = 8x Solving -20 + 12x + 2y = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 12x + -8x + 2y = 8x + -8x Combine like terms: 12x + -8x = 4x -20 + 4x + 2y = 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 4x + 2y = 0 Add '20' to each side of the equation. -20 + 4x + 20 + 2y = 0 + 20 Reorder the terms: -20 + 20 + 4x + 2y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 4x + 2y = 0 + 20 4x + 2y = 0 + 20 Combine like terms: 0 + 20 = 20 4x + 2y = 20 Add '-2y' to each side of the equation. 4x + 2y + -2y = 20 + -2y Combine like terms: 2y + -2y = 0 4x + 0 = 20 + -2y 4x = 20 + -2y Divide each side by '4'. x = 5 + -0.5y Simplifying x = 5 + -0.5y
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