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Simplifying 3[x + -3(x + -1) + 2x + -5] = x + -1(3x + -2) Reorder the terms: 3[x + -3(-1 + x) + 2x + -5] = x + -1(3x + -2) 3[x + (-1 * -3 + x * -3) + 2x + -5] = x + -1(3x + -2) 3[x + (3 + -3x) + 2x + -5] = x + -1(3x + -2) Reorder the terms: 3[3 + -5 + x + -3x + 2x] = x + -1(3x + -2) Combine like terms: 3 + -5 = -2 3[-2 + x + -3x + 2x] = x + -1(3x + -2) Combine like terms: x + -3x = -2x 3[-2 + -2x + 2x] = x + -1(3x + -2) Combine like terms: -2x + 2x = 0 3[-2 + 0] = x + -1(3x + -2) 3[-2] = x + -1(3x + -2) Multiply 3 * -2 -6 = x + -1(3x + -2) Reorder the terms: -6 = x + -1(-2 + 3x) -6 = x + (-2 * -1 + 3x * -1) -6 = x + (2 + -3x) Reorder the terms: -6 = 2 + x + -3x Combine like terms: x + -3x = -2x -6 = 2 + -2x Solving -6 = 2 + -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. -6 + 2x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 2x = 2 + 0 -6 + 2x = 2 Add '6' to each side of the equation. -6 + 6 + 2x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 2 + 6 2x = 2 + 6 Combine like terms: 2 + 6 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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