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Simplifying 2 + -1[-3(5x + -11) + 7] = -2x + -1 + -1(2 + -4x) Reorder the terms: 2 + -1[-3(-11 + 5x) + 7] = -2x + -1 + -1(2 + -4x) 2 + -1[(-11 * -3 + 5x * -3) + 7] = -2x + -1 + -1(2 + -4x) 2 + -1[(33 + -15x) + 7] = -2x + -1 + -1(2 + -4x) Reorder the terms: 2 + -1[33 + 7 + -15x] = -2x + -1 + -1(2 + -4x) Combine like terms: 33 + 7 = 40 2 + -1[40 + -15x] = -2x + -1 + -1(2 + -4x) 2 + [40 * -1 + -15x * -1] = -2x + -1 + -1(2 + -4x) 2 + [-40 + 15x] = -2x + -1 + -1(2 + -4x) Combine like terms: 2 + -40 = -38 -38 + 15x = -2x + -1 + -1(2 + -4x) -38 + 15x = -2x + -1 + (2 * -1 + -4x * -1) -38 + 15x = -2x + -1 + (-2 + 4x) Reorder the terms: -38 + 15x = -1 + -2 + -2x + 4x Combine like terms: -1 + -2 = -3 -38 + 15x = -3 + -2x + 4x Combine like terms: -2x + 4x = 2x -38 + 15x = -3 + 2x Solving -38 + 15x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -38 + 15x + -2x = -3 + 2x + -2x Combine like terms: 15x + -2x = 13x -38 + 13x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -38 + 13x = -3 + 0 -38 + 13x = -3 Add '38' to each side of the equation. -38 + 38 + 13x = -3 + 38 Combine like terms: -38 + 38 = 0 0 + 13x = -3 + 38 13x = -3 + 38 Combine like terms: -3 + 38 = 35 13x = 35 Divide each side by '13'. x = 2.692307692 Simplifying x = 2.692307692
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