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Simplifying 5y + 3x + -4 = -12x + 20 Reorder the terms: -4 + 3x + 5y = -12x + 20 Reorder the terms: -4 + 3x + 5y = 20 + -12x Solving -4 + 3x + 5y = 20 + -12x 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. -4 + 3x + 12x + 5y = 20 + -12x + 12x Combine like terms: 3x + 12x = 15x -4 + 15x + 5y = 20 + -12x + 12x Combine like terms: -12x + 12x = 0 -4 + 15x + 5y = 20 + 0 -4 + 15x + 5y = 20 Add '4' to each side of the equation. -4 + 15x + 4 + 5y = 20 + 4 Reorder the terms: -4 + 4 + 15x + 5y = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 15x + 5y = 20 + 4 15x + 5y = 20 + 4 Combine like terms: 20 + 4 = 24 15x + 5y = 24 Add '-5y' to each side of the equation. 15x + 5y + -5y = 24 + -5y Combine like terms: 5y + -5y = 0 15x + 0 = 24 + -5y 15x = 24 + -5y Divide each side by '15'. x = 1.6 + -0.3333333333y Simplifying x = 1.6 + -0.3333333333y
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