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Simplifying -2[1 + -3x] = 22 + -3[x + -13] [1 * -2 + -3x * -2] = 22 + -3[x + -13] [-2 + 6x] = 22 + -3[x + -13] Reorder the terms: -2 + 6x = 22 + -3[-13 + x] -2 + 6x = 22 + [-13 * -3 + x * -3] -2 + 6x = 22 + [39 + -3x] Combine like terms: 22 + 39 = 61 -2 + 6x = 61 + -3x Solving -2 + 6x = 61 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 6x + 3x = 61 + -3x + 3x Combine like terms: 6x + 3x = 9x -2 + 9x = 61 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 9x = 61 + 0 -2 + 9x = 61 Add '2' to each side of the equation. -2 + 2 + 9x = 61 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 61 + 2 9x = 61 + 2 Combine like terms: 61 + 2 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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