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Simplifying 32x + 44y + 3 = 43 + 3(6x + 8y) + 6x Reorder the terms: 3 + 32x + 44y = 43 + 3(6x + 8y) + 6x 3 + 32x + 44y = 43 + (6x * 3 + 8y * 3) + 6x 3 + 32x + 44y = 43 + (18x + 24y) + 6x Reorder the terms: 3 + 32x + 44y = 43 + 18x + 6x + 24y Combine like terms: 18x + 6x = 24x 3 + 32x + 44y = 43 + 24x + 24y Solving 3 + 32x + 44y = 43 + 24x + 24y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 3 + 32x + -24x + 44y = 43 + 24x + -24x + 24y Combine like terms: 32x + -24x = 8x 3 + 8x + 44y = 43 + 24x + -24x + 24y Combine like terms: 24x + -24x = 0 3 + 8x + 44y = 43 + 0 + 24y 3 + 8x + 44y = 43 + 24y Add '-3' to each side of the equation. 3 + 8x + -3 + 44y = 43 + -3 + 24y Reorder the terms: 3 + -3 + 8x + 44y = 43 + -3 + 24y Combine like terms: 3 + -3 = 0 0 + 8x + 44y = 43 + -3 + 24y 8x + 44y = 43 + -3 + 24y Combine like terms: 43 + -3 = 40 8x + 44y = 40 + 24y Add '-44y' to each side of the equation. 8x + 44y + -44y = 40 + 24y + -44y Combine like terms: 44y + -44y = 0 8x + 0 = 40 + 24y + -44y 8x = 40 + 24y + -44y Combine like terms: 24y + -44y = -20y 8x = 40 + -20y Divide each side by '8'. x = 5 + -2.5y Simplifying x = 5 + -2.5y
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