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Simplifying 6(y + 2x) + -5 = 3(y + -1x) + 7 Reorder the terms: 6(2x + y) + -5 = 3(y + -1x) + 7 (2x * 6 + y * 6) + -5 = 3(y + -1x) + 7 (12x + 6y) + -5 = 3(y + -1x) + 7 Reorder the terms: -5 + 12x + 6y = 3(y + -1x) + 7 Reorder the terms: -5 + 12x + 6y = 3(-1x + y) + 7 -5 + 12x + 6y = (-1x * 3 + y * 3) + 7 -5 + 12x + 6y = (-3x + 3y) + 7 Reorder the terms: -5 + 12x + 6y = 7 + -3x + 3y Solving -5 + 12x + 6y = 7 + -3x + 3y 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. -5 + 12x + 3x + 6y = 7 + -3x + 3x + 3y Combine like terms: 12x + 3x = 15x -5 + 15x + 6y = 7 + -3x + 3x + 3y Combine like terms: -3x + 3x = 0 -5 + 15x + 6y = 7 + 0 + 3y -5 + 15x + 6y = 7 + 3y Add '5' to each side of the equation. -5 + 15x + 5 + 6y = 7 + 5 + 3y Reorder the terms: -5 + 5 + 15x + 6y = 7 + 5 + 3y Combine like terms: -5 + 5 = 0 0 + 15x + 6y = 7 + 5 + 3y 15x + 6y = 7 + 5 + 3y Combine like terms: 7 + 5 = 12 15x + 6y = 12 + 3y Add '-6y' to each side of the equation. 15x + 6y + -6y = 12 + 3y + -6y Combine like terms: 6y + -6y = 0 15x + 0 = 12 + 3y + -6y 15x = 12 + 3y + -6y Combine like terms: 3y + -6y = -3y 15x = 12 + -3y Divide each side by '15'. x = 0.8 + -0.2y Simplifying x = 0.8 + -0.2y
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