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Simplifying 4(4 + 5) = x + -2[(x + -2) + (x + 4)] Combine like terms: 4 + 5 = 9 4(9) = x + -2[(x + -2) + (x + 4)] Multiply 4 * 9 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 = 2 36 = x + -2[2 + x + x] Combine like terms: x + x = 2x 36 = x + -2[2 + 2x] 36 = x + [2 * -2 + 2x * -2] 36 = x + [-4 + -4x] Reorder the terms: 36 = -4 + x + -4x Combine like terms: x + -4x = -3x 36 = -4 + -3x Solving 36 = -4 + -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 = -4 + -3x + 3x Combine like terms: -3x + 3x = 0 36 + 3x = -4 + 0 36 + 3x = -4 Add '-36' to each side of the equation. 36 + -36 + 3x = -4 + -36 Combine like terms: 36 + -36 = 0 0 + 3x = -4 + -36 3x = -4 + -36 Combine like terms: -4 + -36 = -40 3x = -40 Divide each side by '3'. x = -13.33333333 Simplifying x = -13.33333333
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