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Simplifying 9[x + 2] = 4[2x + 1] Reorder the terms: 9[2 + x] = 4[2x + 1] [2 * 9 + x * 9] = 4[2x + 1] [18 + 9x] = 4[2x + 1] Reorder the terms: 18 + 9x = 4[1 + 2x] 18 + 9x = [1 * 4 + 2x * 4] 18 + 9x = [4 + 8x] Solving 18 + 9x = 4 + 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. 18 + 9x + -8x = 4 + 8x + -8x Combine like terms: 9x + -8x = 1x 18 + 1x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + 1x = 4 + 0 18 + 1x = 4 Add '-18' to each side of the equation. 18 + -18 + 1x = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 4 + -18 1x = 4 + -18 Combine like terms: 4 + -18 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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