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Simplifying 25 + -1[2 + 5x + -3(x + 2)] = (2x + -5) + -1[5(x + -1) + -3x + 3] Reorder the terms: 25 + -1[2 + 5x + -3(2 + x)] = (2x + -5) + -1[5(x + -1) + -3x + 3] 25 + -1[2 + 5x + (2 * -3 + x * -3)] = (2x + -5) + -1[5(x + -1) + -3x + 3] 25 + -1[2 + 5x + (-6 + -3x)] = (2x + -5) + -1[5(x + -1) + -3x + 3] Reorder the terms: 25 + -1[2 + -6 + 5x + -3x] = (2x + -5) + -1[5(x + -1) + -3x + 3] Combine like terms: 2 + -6 = -4 25 + -1[-4 + 5x + -3x] = (2x + -5) + -1[5(x + -1) + -3x + 3] Combine like terms: 5x + -3x = 2x 25 + -1[-4 + 2x] = (2x + -5) + -1[5(x + -1) + -3x + 3] 25 + [-4 * -1 + 2x * -1] = (2x + -5) + -1[5(x + -1) + -3x + 3] 25 + [4 + -2x] = (2x + -5) + -1[5(x + -1) + -3x + 3] Combine like terms: 25 + 4 = 29 29 + -2x = (2x + -5) + -1[5(x + -1) + -3x + 3] Reorder the terms: 29 + -2x = (-5 + 2x) + -1[5(x + -1) + -3x + 3] Remove parenthesis around (-5 + 2x) 29 + -2x = -5 + 2x + -1[5(x + -1) + -3x + 3] Reorder the terms: 29 + -2x = -5 + 2x + -1[5(-1 + x) + -3x + 3] 29 + -2x = -5 + 2x + -1[(-1 * 5 + x * 5) + -3x + 3] 29 + -2x = -5 + 2x + -1[(-5 + 5x) + -3x + 3] Reorder the terms: 29 + -2x = -5 + 2x + -1[-5 + 3 + 5x + -3x] Combine like terms: -5 + 3 = -2 29 + -2x = -5 + 2x + -1[-2 + 5x + -3x] Combine like terms: 5x + -3x = 2x 29 + -2x = -5 + 2x + -1[-2 + 2x] 29 + -2x = -5 + 2x + [-2 * -1 + 2x * -1] 29 + -2x = -5 + 2x + [2 + -2x] Reorder the terms: 29 + -2x = -5 + 2 + 2x + -2x Combine like terms: -5 + 2 = -3 29 + -2x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 29 + -2x = -3 + 0 29 + -2x = -3 Solving 29 + -2x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -2x = -3 + -29 Combine like terms: 29 + -29 = 0 0 + -2x = -3 + -29 -2x = -3 + -29 Combine like terms: -3 + -29 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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