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Simplifying -81 + -4(7 + -3x) = 13(x + -8) -81 + (7 * -4 + -3x * -4) = 13(x + -8) -81 + (-28 + 12x) = 13(x + -8) Combine like terms: -81 + -28 = -109 -109 + 12x = 13(x + -8) Reorder the terms: -109 + 12x = 13(-8 + x) -109 + 12x = (-8 * 13 + x * 13) -109 + 12x = (-104 + 13x) Solving -109 + 12x = -104 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -109 + 12x + -13x = -104 + 13x + -13x Combine like terms: 12x + -13x = -1x -109 + -1x = -104 + 13x + -13x Combine like terms: 13x + -13x = 0 -109 + -1x = -104 + 0 -109 + -1x = -104 Add '109' to each side of the equation. -109 + 109 + -1x = -104 + 109 Combine like terms: -109 + 109 = 0 0 + -1x = -104 + 109 -1x = -104 + 109 Combine like terms: -104 + 109 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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