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Simplifying 5x + 9 + 4x = 9 + 8x + (-7) Reorder the terms: 9 + 5x + 4x = 9 + 8x + (-7) Combine like terms: 5x + 4x = 9x 9 + 9x = 9 + 8x + (-7) 9 + 9x = 9 + 8x + -7 Reorder the terms: 9 + 9x = 9 + -7 + 8x Combine like terms: 9 + -7 = 2 9 + 9x = 2 + 8x Solving 9 + 9x = 2 + 8x 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. 9 + 9x + -8x = 2 + 8x + -8x Combine like terms: 9x + -8x = 1x 9 + 1x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + 1x = 2 + 0 9 + 1x = 2 Add '-9' to each side of the equation. 9 + -9 + 1x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 2 + -9 1x = 2 + -9 Combine like terms: 2 + -9 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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