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Simplifying 5x + 4(x + 9) = 8x + 22 Reorder the terms: 5x + 4(9 + x) = 8x + 22 5x + (9 * 4 + x * 4) = 8x + 22 5x + (36 + 4x) = 8x + 22 Reorder the terms: 36 + 5x + 4x = 8x + 22 Combine like terms: 5x + 4x = 9x 36 + 9x = 8x + 22 Reorder the terms: 36 + 9x = 22 + 8x Solving 36 + 9x = 22 + 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. 36 + 9x + -8x = 22 + 8x + -8x Combine like terms: 9x + -8x = 1x 36 + 1x = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 36 + 1x = 22 + 0 36 + 1x = 22 Add '-36' to each side of the equation. 36 + -36 + 1x = 22 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 22 + -36 1x = 22 + -36 Combine like terms: 22 + -36 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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