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Simplifying 7(3x + 1) = 6(x + 1) Reorder the terms: 7(1 + 3x) = 6(x + 1) (1 * 7 + 3x * 7) = 6(x + 1) (7 + 21x) = 6(x + 1) Reorder the terms: 7 + 21x = 6(1 + x) 7 + 21x = (1 * 6 + x * 6) 7 + 21x = (6 + 6x) Solving 7 + 21x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 21x + -6x = 6 + 6x + -6x Combine like terms: 21x + -6x = 15x 7 + 15x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 15x = 6 + 0 7 + 15x = 6 Add '-7' to each side of the equation. 7 + -7 + 15x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 15x = 6 + -7 15x = 6 + -7 Combine like terms: 6 + -7 = -1 15x = -1 Divide each side by '15'. x = -0.06666666667 Simplifying x = -0.06666666667
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