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Simplifying 79 + -157 = 13(x + -1) Combine like terms: 79 + -157 = -78 -78 = 13(x + -1) Reorder the terms: -78 = 13(-1 + x) -78 = (-1 * 13 + x * 13) -78 = (-13 + 13x) Solving -78 = -13 + 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. -78 + -13x = -13 + 13x + -13x Combine like terms: 13x + -13x = 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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