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Simplifying 7 + -1[-3(11 + -5x)] = 2x + -1 + -1(1 + -4x) 7 + -1[(11 * -3 + -5x * -3)] = 2x + -1 + -1(1 + -4x) 7 + -1[(-33 + 15x)] = 2x + -1 + -1(1 + -4x) 7 + [-33 * -1 + 15x * -1] = 2x + -1 + -1(1 + -4x) 7 + [33 + -15x] = 2x + -1 + -1(1 + -4x) Combine like terms: 7 + 33 = 40 40 + -15x = 2x + -1 + -1(1 + -4x) 40 + -15x = 2x + -1 + (1 * -1 + -4x * -1) 40 + -15x = 2x + -1 + (-1 + 4x) Reorder the terms: 40 + -15x = -1 + -1 + 2x + 4x Combine like terms: -1 + -1 = -2 40 + -15x = -2 + 2x + 4x Combine like terms: 2x + 4x = 6x 40 + -15x = -2 + 6x Solving 40 + -15x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 40 + -15x + -6x = -2 + 6x + -6x Combine like terms: -15x + -6x = -21x 40 + -21x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + -21x = -2 + 0 40 + -21x = -2 Add '-40' to each side of the equation. 40 + -40 + -21x = -2 + -40 Combine like terms: 40 + -40 = 0 0 + -21x = -2 + -40 -21x = -2 + -40 Combine like terms: -2 + -40 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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