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Simplifying -3[3x + -1(2x + 7)] = -2[3(2x + -4) + -3x] Reorder the terms: -3[3x + -1(7 + 2x)] = -2[3(2x + -4) + -3x] -3[3x + (7 * -1 + 2x * -1)] = -2[3(2x + -4) + -3x] -3[3x + (-7 + -2x)] = -2[3(2x + -4) + -3x] Reorder the terms: -3[-7 + 3x + -2x] = -2[3(2x + -4) + -3x] Combine like terms: 3x + -2x = 1x -3[-7 + 1x] = -2[3(2x + -4) + -3x] [-7 * -3 + 1x * -3] = -2[3(2x + -4) + -3x] [21 + -3x] = -2[3(2x + -4) + -3x] Reorder the terms: 21 + -3x = -2[3(-4 + 2x) + -3x] 21 + -3x = -2[(-4 * 3 + 2x * 3) + -3x] 21 + -3x = -2[(-12 + 6x) + -3x] Combine like terms: 6x + -3x = 3x 21 + -3x = -2[-12 + 3x] 21 + -3x = [-12 * -2 + 3x * -2] 21 + -3x = [24 + -6x] Solving 21 + -3x = 24 + -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. 21 + -3x + 6x = 24 + -6x + 6x Combine like terms: -3x + 6x = 3x 21 + 3x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 21 + 3x = 24 + 0 21 + 3x = 24 Add '-21' to each side of the equation. 21 + -21 + 3x = 24 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 24 + -21 3x = 24 + -21 Combine like terms: 24 + -21 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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