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Simplifying [(-3x + 7) + -4] = -1[(4x + -7 + 1) + (3 + -5)] Reorder the terms: [(7 + -3x) + -4] = -1[(4x + -7 + 1) + (3 + -5)] Remove parenthesis around (7 + -3x) [7 + -3x + -4] = -1[(4x + -7 + 1) + (3 + -5)] Reorder the terms: [7 + -4 + -3x] = -1[(4x + -7 + 1) + (3 + -5)] Combine like terms: 7 + -4 = 3 [3 + -3x] = -1[(4x + -7 + 1) + (3 + -5)] Remove brackets around [3 + -3x] 3 + -3x = -1[(4x + -7 + 1) + (3 + -5)] Reorder the terms: 3 + -3x = -1[(-7 + 1 + 4x) + (3 + -5)] Combine like terms: -7 + 1 = -6 3 + -3x = -1[(-6 + 4x) + (3 + -5)] Remove parenthesis around (-6 + 4x) 3 + -3x = -1[-6 + 4x + (3 + -5)] Combine like terms: 3 + -5 = -2 3 + -3x = -1[-6 + 4x + (-2)] 3 + -3x = -1[-6 + 4x + -2] Reorder the terms: 3 + -3x = -1[-6 + -2 + 4x] Combine like terms: -6 + -2 = -8 3 + -3x = -1[-8 + 4x] 3 + -3x = [-8 * -1 + 4x * -1] 3 + -3x = [8 + -4x] Solving 3 + -3x = 8 + -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. 3 + -3x + 4x = 8 + -4x + 4x Combine like terms: -3x + 4x = 1x 3 + 1x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 1x = 8 + 0 3 + 1x = 8 Add '-3' to each side of the equation. 3 + -3 + 1x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 8 + -3 1x = 8 + -3 Combine like terms: 8 + -3 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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