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Simplifying -3(x + -1) = 3[x + -4(x + -3) + x] Reorder the terms: -3(-1 + x) = 3[x + -4(x + -3) + x] (-1 * -3 + x * -3) = 3[x + -4(x + -3) + x] (3 + -3x) = 3[x + -4(x + -3) + x] Reorder the terms: 3 + -3x = 3[x + -4(-3 + x) + x] 3 + -3x = 3[x + (-3 * -4 + x * -4) + x] 3 + -3x = 3[x + (12 + -4x) + x] Reorder the terms: 3 + -3x = 3[12 + x + -4x + x] Combine like terms: x + -4x = -3x 3 + -3x = 3[12 + -3x + x] Combine like terms: -3x + x = -2x 3 + -3x = 3[12 + -2x] 3 + -3x = [12 * 3 + -2x * 3] 3 + -3x = [36 + -6x] Solving 3 + -3x = 36 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3 + -3x + 6x = 36 + -6x + 6x Combine like terms: -3x + 6x = 3x 3 + 3x = 36 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 3x = 36 + 0 3 + 3x = 36 Add '-3' to each side of the equation. 3 + -3 + 3x = 36 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 36 + -3 3x = 36 + -3 Combine like terms: 36 + -3 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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