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Simplifying 71 + [-5x + (-2 + 3)] = 25 + -1[-1(3x + 4) + -1(4x + 3)] Combine like terms: -2 + 3 = 1 71 + [-5x + (1)] = 25 + -1[-1(3x + 4) + -1(4x + 3)] 71 + [-5x + 1] = 25 + -1[-1(3x + 4) + -1(4x + 3)] Reorder the terms: 71 + [1 + -5x] = 25 + -1[-1(3x + 4) + -1(4x + 3)] Remove brackets around [1 + -5x] 71 + 1 + -5x = 25 + -1[-1(3x + 4) + -1(4x + 3)] Combine like terms: 71 + 1 = 72 72 + -5x = 25 + -1[-1(3x + 4) + -1(4x + 3)] Reorder the terms: 72 + -5x = 25 + -1[-1(4 + 3x) + -1(4x + 3)] 72 + -5x = 25 + -1[(4 * -1 + 3x * -1) + -1(4x + 3)] 72 + -5x = 25 + -1[(-4 + -3x) + -1(4x + 3)] Reorder the terms: 72 + -5x = 25 + -1[-4 + -3x + -1(3 + 4x)] 72 + -5x = 25 + -1[-4 + -3x + (3 * -1 + 4x * -1)] 72 + -5x = 25 + -1[-4 + -3x + (-3 + -4x)] Reorder the terms: 72 + -5x = 25 + -1[-4 + -3 + -3x + -4x] Combine like terms: -4 + -3 = -7 72 + -5x = 25 + -1[-7 + -3x + -4x] Combine like terms: -3x + -4x = -7x 72 + -5x = 25 + -1[-7 + -7x] 72 + -5x = 25 + [-7 * -1 + -7x * -1] 72 + -5x = 25 + [7 + 7x] Combine like terms: 25 + 7 = 32 72 + -5x = 32 + 7x Solving 72 + -5x = 32 + 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. 72 + -5x + -7x = 32 + 7x + -7x Combine like terms: -5x + -7x = -12x 72 + -12x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 72 + -12x = 32 + 0 72 + -12x = 32 Add '-72' to each side of the equation. 72 + -72 + -12x = 32 + -72 Combine like terms: 72 + -72 = 0 0 + -12x = 32 + -72 -12x = 32 + -72 Combine like terms: 32 + -72 = -40 -12x = -40 Divide each side by '-12'. x = 3.333333333 Simplifying x = 3.333333333
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