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Simplifying -13x + -78 = -10x + -1 + 8x Reorder the terms: -78 + -13x = -10x + -1 + 8x Reorder the terms: -78 + -13x = -1 + -10x + 8x Combine like terms: -10x + 8x = -2x -78 + -13x = -1 + -2x Solving -78 + -13x = -1 + -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. -78 + -13x + 2x = -1 + -2x + 2x Combine like terms: -13x + 2x = -11x -78 + -11x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 -78 + -11x = -1 + 0 -78 + -11x = -1 Add '78' to each side of the equation. -78 + 78 + -11x = -1 + 78 Combine like terms: -78 + 78 = 0 0 + -11x = -1 + 78 -11x = -1 + 78 Combine like terms: -1 + 78 = 77 -11x = 77 Divide each side by '-11'. x = -7 Simplifying x = -7
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