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Simplifying 79 = 6x + 7x + 1 Reorder the terms: 79 = 1 + 6x + 7x Combine like terms: 6x + 7x = 13x 79 = 1 + 13x Solving 79 = 1 + 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. 79 + -13x = 1 + 13x + -13x Combine like terms: 13x + -13x = 0 79 + -13x = 1 + 0 79 + -13x = 1 Add '-79' to each side of the equation. 79 + -79 + -13x = 1 + -79 Combine like terms: 79 + -79 = 0 0 + -13x = 1 + -79 -13x = 1 + -79 Combine like terms: 1 + -79 = -78 -13x = -78 Divide each side by '-13'. x = 6 Simplifying x = 6
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