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Simplifying 0 = 2[x + -1(4 + -1x)] + -3(x + 1) 0 = 2[x + (4 * -1 + -1x * -1)] + -3(x + 1) 0 = 2[x + (-4 + 1x)] + -3(x + 1) Reorder the terms: 0 = 2[-4 + x + 1x] + -3(x + 1) Combine like terms: x + 1x = 2x 0 = 2[-4 + 2x] + -3(x + 1) 0 = [-4 * 2 + 2x * 2] + -3(x + 1) 0 = [-8 + 4x] + -3(x + 1) Reorder the terms: 0 = -8 + 4x + -3(1 + x) 0 = -8 + 4x + (1 * -3 + x * -3) 0 = -8 + 4x + (-3 + -3x) Reorder the terms: 0 = -8 + -3 + 4x + -3x Combine like terms: -8 + -3 = -11 0 = -11 + 4x + -3x Combine like terms: 4x + -3x = 1x 0 = -11 + 1x Solving 0 = -11 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0 + -1x = -11 + 1x + -1x Remove the zero: -1x = -11 + 1x + -1x Combine like terms: 1x + -1x = 0 -1x = -11 + 0 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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