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Simplifying 3[2(3 + -3x) + 4] = 2[2(3 + -5x) + 2] 3[(3 * 2 + -3x * 2) + 4] = 2[2(3 + -5x) + 2] 3[(6 + -6x) + 4] = 2[2(3 + -5x) + 2] Reorder the terms: 3[6 + 4 + -6x] = 2[2(3 + -5x) + 2] Combine like terms: 6 + 4 = 10 3[10 + -6x] = 2[2(3 + -5x) + 2] [10 * 3 + -6x * 3] = 2[2(3 + -5x) + 2] [30 + -18x] = 2[2(3 + -5x) + 2] 30 + -18x = 2[(3 * 2 + -5x * 2) + 2] 30 + -18x = 2[(6 + -10x) + 2] Reorder the terms: 30 + -18x = 2[6 + 2 + -10x] Combine like terms: 6 + 2 = 8 30 + -18x = 2[8 + -10x] 30 + -18x = [8 * 2 + -10x * 2] 30 + -18x = [16 + -20x] Solving 30 + -18x = 16 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 30 + -18x + 20x = 16 + -20x + 20x Combine like terms: -18x + 20x = 2x 30 + 2x = 16 + -20x + 20x Combine like terms: -20x + 20x = 0 30 + 2x = 16 + 0 30 + 2x = 16 Add '-30' to each side of the equation. 30 + -30 + 2x = 16 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 16 + -30 2x = 16 + -30 Combine like terms: 16 + -30 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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