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Simplifying 36 = x + -2[(x + -2) + (x + -4)] Reorder the terms: 36 = x + -2[(-2 + x) + (x + -4)] Remove parenthesis around (-2 + x) 36 = x + -2[-2 + x + (x + -4)] Reorder the terms: 36 = x + -2[-2 + x + (-4 + x)] Remove parenthesis around (-4 + x) 36 = x + -2[-2 + x + -4 + x] Reorder the terms: 36 = x + -2[-2 + -4 + x + x] Combine like terms: -2 + -4 = -6 36 = x + -2[-6 + x + x] Combine like terms: x + x = 2x 36 = x + -2[-6 + 2x] 36 = x + [-6 * -2 + 2x * -2] 36 = x + [12 + -4x] Reorder the terms: 36 = 12 + x + -4x Combine like terms: x + -4x = -3x 36 = 12 + -3x Solving 36 = 12 + -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. 36 + 3x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 36 + 3x = 12 + 0 36 + 3x = 12 Add '-36' to each side of the equation. 36 + -36 + 3x = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 3x = 12 + -36 3x = 12 + -36 Combine like terms: 12 + -36 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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