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Simplifying 8x + 12y + -20 = 6x + 15y + 12 Reorder the terms: -20 + 8x + 12y = 6x + 15y + 12 Reorder the terms: -20 + 8x + 12y = 12 + 6x + 15y Solving -20 + 8x + 12y = 12 + 6x + 15y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 8x + -6x + 12y = 12 + 6x + -6x + 15y Combine like terms: 8x + -6x = 2x -20 + 2x + 12y = 12 + 6x + -6x + 15y Combine like terms: 6x + -6x = 0 -20 + 2x + 12y = 12 + 0 + 15y -20 + 2x + 12y = 12 + 15y Add '20' to each side of the equation. -20 + 2x + 20 + 12y = 12 + 20 + 15y Reorder the terms: -20 + 20 + 2x + 12y = 12 + 20 + 15y Combine like terms: -20 + 20 = 0 0 + 2x + 12y = 12 + 20 + 15y 2x + 12y = 12 + 20 + 15y Combine like terms: 12 + 20 = 32 2x + 12y = 32 + 15y Add '-12y' to each side of the equation. 2x + 12y + -12y = 32 + 15y + -12y Combine like terms: 12y + -12y = 0 2x + 0 = 32 + 15y + -12y 2x = 32 + 15y + -12y Combine like terms: 15y + -12y = 3y 2x = 32 + 3y Divide each side by '2'. x = 16 + 1.5y Simplifying x = 16 + 1.5y
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