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Simplifying 13x + -3[2(x + -4) + -5x] = -42 Reorder the terms: 13x + -3[2(-4 + x) + -5x] = -42 13x + -3[(-4 * 2 + x * 2) + -5x] = -42 13x + -3[(-8 + 2x) + -5x] = -42 Combine like terms: 2x + -5x = -3x 13x + -3[-8 + -3x] = -42 13x + [-8 * -3 + -3x * -3] = -42 13x + [24 + 9x] = -42 Reorder the terms: 24 + 13x + 9x = -42 Combine like terms: 13x + 9x = 22x 24 + 22x = -42 Solving 24 + 22x = -42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 22x = -42 + -24 Combine like terms: 24 + -24 = 0 0 + 22x = -42 + -24 22x = -42 + -24 Combine like terms: -42 + -24 = -66 22x = -66 Divide each side by '22'. x = -3 Simplifying x = -3
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