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Simplifying 71 + [5x + (2x + 3)] = 25 + -1[-1(3x + 4) + -1(4x + 3)] Reorder the terms: 71 + [5x + (3 + 2x)] = 25 + -1[-1(3x + 4) + -1(4x + 3)] Remove parenthesis around (3 + 2x) 71 + [5x + 3 + 2x] = 25 + -1[-1(3x + 4) + -1(4x + 3)] Reorder the terms: 71 + [3 + 5x + 2x] = 25 + -1[-1(3x + 4) + -1(4x + 3)] Combine like terms: 5x + 2x = 7x 71 + [3 + 7x] = 25 + -1[-1(3x + 4) + -1(4x + 3)] Remove brackets around [3 + 7x] 71 + 3 + 7x = 25 + -1[-1(3x + 4) + -1(4x + 3)] Combine like terms: 71 + 3 = 74 74 + 7x = 25 + -1[-1(3x + 4) + -1(4x + 3)] Reorder the terms: 74 + 7x = 25 + -1[-1(4 + 3x) + -1(4x + 3)] 74 + 7x = 25 + -1[(4 * -1 + 3x * -1) + -1(4x + 3)] 74 + 7x = 25 + -1[(-4 + -3x) + -1(4x + 3)] Reorder the terms: 74 + 7x = 25 + -1[-4 + -3x + -1(3 + 4x)] 74 + 7x = 25 + -1[-4 + -3x + (3 * -1 + 4x * -1)] 74 + 7x = 25 + -1[-4 + -3x + (-3 + -4x)] Reorder the terms: 74 + 7x = 25 + -1[-4 + -3 + -3x + -4x] Combine like terms: -4 + -3 = -7 74 + 7x = 25 + -1[-7 + -3x + -4x] Combine like terms: -3x + -4x = -7x 74 + 7x = 25 + -1[-7 + -7x] 74 + 7x = 25 + [-7 * -1 + -7x * -1] 74 + 7x = 25 + [7 + 7x] Combine like terms: 25 + 7 = 32 74 + 7x = 32 + 7x Add '-7x' to each side of the equation. 74 + 7x + -7x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 74 + 0 = 32 + 7x + -7x 74 = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 74 = 32 + 0 74 = 32 Solving 74 = 32 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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