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Simplifying 3x + 22 = 13x + -78 Reorder the terms: 22 + 3x = 13x + -78 Reorder the terms: 22 + 3x = -78 + 13x Solving 22 + 3x = -78 + 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. 22 + 3x + -13x = -78 + 13x + -13x Combine like terms: 3x + -13x = -10x 22 + -10x = -78 + 13x + -13x Combine like terms: 13x + -13x = 0 22 + -10x = -78 + 0 22 + -10x = -78 Add '-22' to each side of the equation. 22 + -22 + -10x = -78 + -22 Combine like terms: 22 + -22 = 0 0 + -10x = -78 + -22 -10x = -78 + -22 Combine like terms: -78 + -22 = -100 -10x = -100 Divide each side by '-10'. x = 10 Simplifying x = 10
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