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Simplifying 17 + -1[13x + -1(15 + -19x) + -21x] = 25 + -1[(11x + -23) + -1(18x + -7)] 17 + -1[13x + (15 * -1 + -19x * -1) + -21x] = 25 + -1[(11x + -23) + -1(18x + -7)] 17 + -1[13x + (-15 + 19x) + -21x] = 25 + -1[(11x + -23) + -1(18x + -7)] Reorder the terms: 17 + -1[-15 + 13x + 19x + -21x] = 25 + -1[(11x + -23) + -1(18x + -7)] Combine like terms: 13x + 19x = 32x 17 + -1[-15 + 32x + -21x] = 25 + -1[(11x + -23) + -1(18x + -7)] Combine like terms: 32x + -21x = 11x 17 + -1[-15 + 11x] = 25 + -1[(11x + -23) + -1(18x + -7)] 17 + [-15 * -1 + 11x * -1] = 25 + -1[(11x + -23) + -1(18x + -7)] 17 + [15 + -11x] = 25 + -1[(11x + -23) + -1(18x + -7)] Combine like terms: 17 + 15 = 32 32 + -11x = 25 + -1[(11x + -23) + -1(18x + -7)] Reorder the terms: 32 + -11x = 25 + -1[(-23 + 11x) + -1(18x + -7)] Remove parenthesis around (-23 + 11x) 32 + -11x = 25 + -1[-23 + 11x + -1(18x + -7)] Reorder the terms: 32 + -11x = 25 + -1[-23 + 11x + -1(-7 + 18x)] 32 + -11x = 25 + -1[-23 + 11x + (-7 * -1 + 18x * -1)] 32 + -11x = 25 + -1[-23 + 11x + (7 + -18x)] Reorder the terms: 32 + -11x = 25 + -1[-23 + 7 + 11x + -18x] Combine like terms: -23 + 7 = -16 32 + -11x = 25 + -1[-16 + 11x + -18x] Combine like terms: 11x + -18x = -7x 32 + -11x = 25 + -1[-16 + -7x] 32 + -11x = 25 + [-16 * -1 + -7x * -1] 32 + -11x = 25 + [16 + 7x] Combine like terms: 25 + 16 = 41 32 + -11x = 41 + 7x Solving 32 + -11x = 41 + 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. 32 + -11x + -7x = 41 + 7x + -7x Combine like terms: -11x + -7x = -18x 32 + -18x = 41 + 7x + -7x Combine like terms: 7x + -7x = 0 32 + -18x = 41 + 0 32 + -18x = 41 Add '-32' to each side of the equation. 32 + -32 + -18x = 41 + -32 Combine like terms: 32 + -32 = 0 0 + -18x = 41 + -32 -18x = 41 + -32 Combine like terms: 41 + -32 = 9 -18x = 9 Divide each side by '-18'. x = -0.5 Simplifying x = -0.5
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