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Simplifying 3[x + -1(2 + -1x) + -2x] = 3(4 + -1x) 3[x + (2 * -1 + -1x * -1) + -2x] = 3(4 + -1x) 3[x + (-2 + 1x) + -2x] = 3(4 + -1x) Reorder the terms: 3[-2 + x + 1x + -2x] = 3(4 + -1x) Combine like terms: x + 1x = 2x 3[-2 + 2x + -2x] = 3(4 + -1x) Combine like terms: 2x + -2x = 0 3[-2 + 0] = 3(4 + -1x) 3[-2] = 3(4 + -1x) Multiply 3 * -2 -6 = 3(4 + -1x) -6 = (4 * 3 + -1x * 3) -6 = (12 + -3x) Solving -6 = 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. -6 + 3x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 3x = 12 + 0 -6 + 3x = 12 Add '6' to each side of the equation. -6 + 6 + 3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 12 + 6 3x = 12 + 6 Combine like terms: 12 + 6 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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