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Simplifying -6x + -13(x + 8) = -6(3x + 4) Reorder the terms: -6x + -13(8 + x) = -6(3x + 4) -6x + (8 * -13 + x * -13) = -6(3x + 4) -6x + (-104 + -13x) = -6(3x + 4) Reorder the terms: -104 + -6x + -13x = -6(3x + 4) Combine like terms: -6x + -13x = -19x -104 + -19x = -6(3x + 4) Reorder the terms: -104 + -19x = -6(4 + 3x) -104 + -19x = (4 * -6 + 3x * -6) -104 + -19x = (-24 + -18x) Solving -104 + -19x = -24 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -104 + -19x + 18x = -24 + -18x + 18x Combine like terms: -19x + 18x = -1x -104 + -1x = -24 + -18x + 18x Combine like terms: -18x + 18x = 0 -104 + -1x = -24 + 0 -104 + -1x = -24 Add '104' to each side of the equation. -104 + 104 + -1x = -24 + 104 Combine like terms: -104 + 104 = 0 0 + -1x = -24 + 104 -1x = -24 + 104 Combine like terms: -24 + 104 = 80 -1x = 80 Divide each side by '-1'. x = -80 Simplifying x = -80
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