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Simplifying -8 + -6(x + -2) = -13x + 6(x + -5) Reorder the terms: -8 + -6(-2 + x) = -13x + 6(x + -5) -8 + (-2 * -6 + x * -6) = -13x + 6(x + -5) -8 + (12 + -6x) = -13x + 6(x + -5) Combine like terms: -8 + 12 = 4 4 + -6x = -13x + 6(x + -5) Reorder the terms: 4 + -6x = -13x + 6(-5 + x) 4 + -6x = -13x + (-5 * 6 + x * 6) 4 + -6x = -13x + (-30 + 6x) Reorder the terms: 4 + -6x = -30 + -13x + 6x Combine like terms: -13x + 6x = -7x 4 + -6x = -30 + -7x Solving 4 + -6x = -30 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + -6x + 7x = -30 + -7x + 7x Combine like terms: -6x + 7x = 1x 4 + 1x = -30 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 1x = -30 + 0 4 + 1x = -30 Add '-4' to each side of the equation. 4 + -4 + 1x = -30 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -30 + -4 1x = -30 + -4 Combine like terms: -30 + -4 = -34 1x = -34 Divide each side by '1'. x = -34 Simplifying x = -34
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