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Simplifying 9[x + -4] = 2[x + 1] Reorder the terms: 9[-4 + x] = 2[x + 1] [-4 * 9 + x * 9] = 2[x + 1] [-36 + 9x] = 2[x + 1] Reorder the terms: -36 + 9x = 2[1 + x] -36 + 9x = [1 * 2 + x * 2] -36 + 9x = [2 + 2x] Solving -36 + 9x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -36 + 9x + -2x = 2 + 2x + -2x Combine like terms: 9x + -2x = 7x -36 + 7x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 + 7x = 2 + 0 -36 + 7x = 2 Add '36' to each side of the equation. -36 + 36 + 7x = 2 + 36 Combine like terms: -36 + 36 = 0 0 + 7x = 2 + 36 7x = 2 + 36 Combine like terms: 2 + 36 = 38 7x = 38 Divide each side by '7'. x = 5.428571429 Simplifying x = 5.428571429
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