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Simplifying 8x + -78 = 15x + -13 + 6x Reorder the terms: -78 + 8x = 15x + -13 + 6x Reorder the terms: -78 + 8x = -13 + 15x + 6x Combine like terms: 15x + 6x = 21x -78 + 8x = -13 + 21x Solving -78 + 8x = -13 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -78 + 8x + -21x = -13 + 21x + -21x Combine like terms: 8x + -21x = -13x -78 + -13x = -13 + 21x + -21x Combine like terms: 21x + -21x = 0 -78 + -13x = -13 + 0 -78 + -13x = -13 Add '78' to each side of the equation. -78 + 78 + -13x = -13 + 78 Combine like terms: -78 + 78 = 0 0 + -13x = -13 + 78 -13x = -13 + 78 Combine like terms: -13 + 78 = 65 -13x = 65 Divide each side by '-13'. x = -5 Simplifying x = -5
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