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Simplifying 7(3x + 1) = 6x Reorder the terms: 7(1 + 3x) = 6x (1 * 7 + 3x * 7) = 6x (7 + 21x) = 6x Solving 7 + 21x = 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 = 6x + -6x Combine like terms: 21x + -6x = 15x 7 + 15x = 6x + -6x Combine like terms: 6x + -6x = 0 7 + 15x = 0 Add '-7' to each side of the equation. 7 + -7 + 15x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 15x = 0 + -7 15x = 0 + -7 Combine like terms: 0 + -7 = -7 15x = -7 Divide each side by '15'. x = -0.4666666667 Simplifying x = -0.4666666667
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