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Simplifying 9x + 7(y + 3) = -2y + 8x + 5 Reorder the terms: 9x + 7(3 + y) = -2y + 8x + 5 9x + (3 * 7 + y * 7) = -2y + 8x + 5 9x + (21 + 7y) = -2y + 8x + 5 Reorder the terms: 21 + 9x + 7y = -2y + 8x + 5 Reorder the terms: 21 + 9x + 7y = 5 + 8x + -2y Solving 21 + 9x + 7y = 5 + 8x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 21 + 9x + -8x + 7y = 5 + 8x + -8x + -2y Combine like terms: 9x + -8x = 1x 21 + 1x + 7y = 5 + 8x + -8x + -2y Combine like terms: 8x + -8x = 0 21 + 1x + 7y = 5 + 0 + -2y 21 + 1x + 7y = 5 + -2y Add '-21' to each side of the equation. 21 + 1x + -21 + 7y = 5 + -21 + -2y Reorder the terms: 21 + -21 + 1x + 7y = 5 + -21 + -2y Combine like terms: 21 + -21 = 0 0 + 1x + 7y = 5 + -21 + -2y 1x + 7y = 5 + -21 + -2y Combine like terms: 5 + -21 = -16 1x + 7y = -16 + -2y Add '-7y' to each side of the equation. 1x + 7y + -7y = -16 + -2y + -7y Combine like terms: 7y + -7y = 0 1x + 0 = -16 + -2y + -7y 1x = -16 + -2y + -7y Combine like terms: -2y + -7y = -9y 1x = -16 + -9y Divide each side by '1'. x = -16 + -9y Simplifying x = -16 + -9y
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