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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 = 3x 71 + [3 + 3x] = 25 + -1[-1(3x + 4) + -1(4x + 3)] Remove brackets around [3 + 3x] 71 + 3 + 3x = 25 + -1[-1(3x + 4) + -1(4x + 3)] Combine like terms: 71 + 3 = 74 74 + 3x = 25 + -1[-1(3x + 4) + -1(4x + 3)] Reorder the terms: 74 + 3x = 25 + -1[-1(4 + 3x) + -1(4x + 3)] 74 + 3x = 25 + -1[(4 * -1 + 3x * -1) + -1(4x + 3)] 74 + 3x = 25 + -1[(-4 + -3x) + -1(4x + 3)] Reorder the terms: 74 + 3x = 25 + -1[-4 + -3x + -1(3 + 4x)] 74 + 3x = 25 + -1[-4 + -3x + (3 * -1 + 4x * -1)] 74 + 3x = 25 + -1[-4 + -3x + (-3 + -4x)] Reorder the terms: 74 + 3x = 25 + -1[-4 + -3 + -3x + -4x] Combine like terms: -4 + -3 = -7 74 + 3x = 25 + -1[-7 + -3x + -4x] Combine like terms: -3x + -4x = -7x 74 + 3x = 25 + -1[-7 + -7x] 74 + 3x = 25 + [-7 * -1 + -7x * -1] 74 + 3x = 25 + [7 + 7x] Combine like terms: 25 + 7 = 32 74 + 3x = 32 + 7x Solving 74 + 3x = 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. 74 + 3x + -7x = 32 + 7x + -7x Combine like terms: 3x + -7x = -4x 74 + -4x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 74 + -4x = 32 + 0 74 + -4x = 32 Add '-74' to each side of the equation. 74 + -74 + -4x = 32 + -74 Combine like terms: 74 + -74 = 0 0 + -4x = 32 + -74 -4x = 32 + -74 Combine like terms: 32 + -74 = -42 -4x = -42 Divide each side by '-4'. x = 10.5 Simplifying x = 10.5
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