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Simplifying -1[7x + -1(2x + 3)] = 3 + -1[3(3x + -3) + -2x] Reorder the terms: -1[7x + -1(3 + 2x)] = 3 + -1[3(3x + -3) + -2x] -1[7x + (3 * -1 + 2x * -1)] = 3 + -1[3(3x + -3) + -2x] -1[7x + (-3 + -2x)] = 3 + -1[3(3x + -3) + -2x] Reorder the terms: -1[-3 + 7x + -2x] = 3 + -1[3(3x + -3) + -2x] Combine like terms: 7x + -2x = 5x -1[-3 + 5x] = 3 + -1[3(3x + -3) + -2x] [-3 * -1 + 5x * -1] = 3 + -1[3(3x + -3) + -2x] [3 + -5x] = 3 + -1[3(3x + -3) + -2x] Reorder the terms: 3 + -5x = 3 + -1[3(-3 + 3x) + -2x] 3 + -5x = 3 + -1[(-3 * 3 + 3x * 3) + -2x] 3 + -5x = 3 + -1[(-9 + 9x) + -2x] Combine like terms: 9x + -2x = 7x 3 + -5x = 3 + -1[-9 + 7x] 3 + -5x = 3 + [-9 * -1 + 7x * -1] 3 + -5x = 3 + [9 + -7x] Combine like terms: 3 + 9 = 12 3 + -5x = 12 + -7x Solving 3 + -5x = 12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 3 + -5x + 7x = 12 + -7x + 7x Combine like terms: -5x + 7x = 2x 3 + 2x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 3 + 2x = 12 + 0 3 + 2x = 12 Add '-3' to each side of the equation. 3 + -3 + 2x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 12 + -3 2x = 12 + -3 Combine like terms: 12 + -3 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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