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Simplifying 1 + [-5 + (-2x + 3)] = 25 + -1[-1(3x + 4) + -1(4x + 3)] Reorder the terms: 1 + [-5 + (3 + -2x)] = 25 + -1[-1(3x + 4) + -1(4x + 3)] Remove parenthesis around (3 + -2x) 1 + [-5 + 3 + -2x] = 25 + -1[-1(3x + 4) + -1(4x + 3)] Combine like terms: -5 + 3 = -2 1 + [-2 + -2x] = 25 + -1[-1(3x + 4) + -1(4x + 3)] Remove brackets around [-2 + -2x] 1 + -2 + -2x = 25 + -1[-1(3x + 4) + -1(4x + 3)] Combine like terms: 1 + -2 = -1 -1 + -2x = 25 + -1[-1(3x + 4) + -1(4x + 3)] Reorder the terms: -1 + -2x = 25 + -1[-1(4 + 3x) + -1(4x + 3)] -1 + -2x = 25 + -1[(4 * -1 + 3x * -1) + -1(4x + 3)] -1 + -2x = 25 + -1[(-4 + -3x) + -1(4x + 3)] Reorder the terms: -1 + -2x = 25 + -1[-4 + -3x + -1(3 + 4x)] -1 + -2x = 25 + -1[-4 + -3x + (3 * -1 + 4x * -1)] -1 + -2x = 25 + -1[-4 + -3x + (-3 + -4x)] Reorder the terms: -1 + -2x = 25 + -1[-4 + -3 + -3x + -4x] Combine like terms: -4 + -3 = -7 -1 + -2x = 25 + -1[-7 + -3x + -4x] Combine like terms: -3x + -4x = -7x -1 + -2x = 25 + -1[-7 + -7x] -1 + -2x = 25 + [-7 * -1 + -7x * -1] -1 + -2x = 25 + [7 + 7x] Combine like terms: 25 + 7 = 32 -1 + -2x = 32 + 7x Solving -1 + -2x = 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. -1 + -2x + -7x = 32 + 7x + -7x Combine like terms: -2x + -7x = -9x -1 + -9x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -9x = 32 + 0 -1 + -9x = 32 Add '1' to each side of the equation. -1 + 1 + -9x = 32 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 32 + 1 -9x = 32 + 1 Combine like terms: 32 + 1 = 33 -9x = 33 Divide each side by '-9'. x = -3.666666667 Simplifying x = -3.666666667
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