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Simplifying 107 = 6x + 1 + 15x + 1 Reorder the terms: 107 = 1 + 1 + 6x + 15x Combine like terms: 1 + 1 = 2 107 = 2 + 6x + 15x Combine like terms: 6x + 15x = 21x 107 = 2 + 21x Solving 107 = 2 + 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. 107 + -21x = 2 + 21x + -21x Combine like terms: 21x + -21x = 0 107 + -21x = 2 + 0 107 + -21x = 2 Add '-107' to each side of the equation. 107 + -107 + -21x = 2 + -107 Combine like terms: 107 + -107 = 0 0 + -21x = 2 + -107 -21x = 2 + -107 Combine like terms: 2 + -107 = -105 -21x = -105 Divide each side by '-21'. x = 5 Simplifying x = 5
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