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Simplifying 9(8 + -3x) = 6(y + -2x) (8 * 9 + -3x * 9) = 6(y + -2x) (72 + -27x) = 6(y + -2x) Reorder the terms: 72 + -27x = 6(-2x + y) 72 + -27x = (-2x * 6 + y * 6) 72 + -27x = (-12x + 6y) Solving 72 + -27x = -12x + 6y 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. 72 + -27x + 12x = -12x + 12x + 6y Combine like terms: -27x + 12x = -15x 72 + -15x = -12x + 12x + 6y Combine like terms: -12x + 12x = 0 72 + -15x = 0 + 6y 72 + -15x = 6y Add '-72' to each side of the equation. 72 + -72 + -15x = -72 + 6y Combine like terms: 72 + -72 = 0 0 + -15x = -72 + 6y -15x = -72 + 6y Divide each side by '-15'. x = 4.8 + -0.4y Simplifying x = 4.8 + -0.4y
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