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Simplifying -3(x + -2) = 2[x + -4(2x + -2) + x] Reorder the terms: -3(-2 + x) = 2[x + -4(2x + -2) + x] (-2 * -3 + x * -3) = 2[x + -4(2x + -2) + x] (6 + -3x) = 2[x + -4(2x + -2) + x] Reorder the terms: 6 + -3x = 2[x + -4(-2 + 2x) + x] 6 + -3x = 2[x + (-2 * -4 + 2x * -4) + x] 6 + -3x = 2[x + (8 + -8x) + x] Reorder the terms: 6 + -3x = 2[8 + x + -8x + x] Combine like terms: x + -8x = -7x 6 + -3x = 2[8 + -7x + x] Combine like terms: -7x + x = -6x 6 + -3x = 2[8 + -6x] 6 + -3x = [8 * 2 + -6x * 2] 6 + -3x = [16 + -12x] Solving 6 + -3x = 16 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 6 + -3x + 12x = 16 + -12x + 12x Combine like terms: -3x + 12x = 9x 6 + 9x = 16 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + 9x = 16 + 0 6 + 9x = 16 Add '-6' to each side of the equation. 6 + -6 + 9x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 16 + -6 9x = 16 + -6 Combine like terms: 16 + -6 = 10 9x = 10 Divide each side by '9'. x = 1.111111111 Simplifying x = 1.111111111
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