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Simplifying 8 + -3[x + -4(x + -5) + -6] = 2 + -6(x + -3) Reorder the terms: 8 + -3[x + -4(-5 + x) + -6] = 2 + -6(x + -3) 8 + -3[x + (-5 * -4 + x * -4) + -6] = 2 + -6(x + -3) 8 + -3[x + (20 + -4x) + -6] = 2 + -6(x + -3) Reorder the terms: 8 + -3[20 + -6 + x + -4x] = 2 + -6(x + -3) Combine like terms: 20 + -6 = 14 8 + -3[14 + x + -4x] = 2 + -6(x + -3) Combine like terms: x + -4x = -3x 8 + -3[14 + -3x] = 2 + -6(x + -3) 8 + [14 * -3 + -3x * -3] = 2 + -6(x + -3) 8 + [-42 + 9x] = 2 + -6(x + -3) Combine like terms: 8 + -42 = -34 -34 + 9x = 2 + -6(x + -3) Reorder the terms: -34 + 9x = 2 + -6(-3 + x) -34 + 9x = 2 + (-3 * -6 + x * -6) -34 + 9x = 2 + (18 + -6x) Combine like terms: 2 + 18 = 20 -34 + 9x = 20 + -6x Solving -34 + 9x = 20 + -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. -34 + 9x + 6x = 20 + -6x + 6x Combine like terms: 9x + 6x = 15x -34 + 15x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 -34 + 15x = 20 + 0 -34 + 15x = 20 Add '34' to each side of the equation. -34 + 34 + 15x = 20 + 34 Combine like terms: -34 + 34 = 0 0 + 15x = 20 + 34 15x = 20 + 34 Combine like terms: 20 + 34 = 54 15x = 54 Divide each side by '15'. x = 3.6 Simplifying x = 3.6
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