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Simplifying -3(x + -3) = 2[x + -4(x + -2) + x] Reorder the terms: -3(-3 + x) = 2[x + -4(x + -2) + x] (-3 * -3 + x * -3) = 2[x + -4(x + -2) + x] (9 + -3x) = 2[x + -4(x + -2) + x] Reorder the terms: 9 + -3x = 2[x + -4(-2 + x) + x] 9 + -3x = 2[x + (-2 * -4 + x * -4) + x] 9 + -3x = 2[x + (8 + -4x) + x] Reorder the terms: 9 + -3x = 2[8 + x + -4x + x] Combine like terms: x + -4x = -3x 9 + -3x = 2[8 + -3x + x] Combine like terms: -3x + x = -2x 9 + -3x = 2[8 + -2x] 9 + -3x = [8 * 2 + -2x * 2] 9 + -3x = [16 + -4x] Solving 9 + -3x = 16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 9 + -3x + 4x = 16 + -4x + 4x Combine like terms: -3x + 4x = 1x 9 + 1x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 1x = 16 + 0 9 + 1x = 16 Add '-9' to each side of the equation. 9 + -9 + 1x = 16 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 16 + -9 1x = 16 + -9 Combine like terms: 16 + -9 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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