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Simplifying 3(2 + 5x) = (3x + 2) * 7 (2 * 3 + 5x * 3) = (3x + 2) * 7 (6 + 15x) = (3x + 2) * 7 Reorder the terms: 6 + 15x = (2 + 3x) * 7 Reorder the terms for easier multiplication: 6 + 15x = 7(2 + 3x) 6 + 15x = (2 * 7 + 3x * 7) 6 + 15x = (14 + 21x) Solving 6 + 15x = 14 + 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. 6 + 15x + -21x = 14 + 21x + -21x Combine like terms: 15x + -21x = -6x 6 + -6x = 14 + 21x + -21x Combine like terms: 21x + -21x = 0 6 + -6x = 14 + 0 6 + -6x = 14 Add '-6' to each side of the equation. 6 + -6 + -6x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 14 + -6 -6x = 14 + -6 Combine like terms: 14 + -6 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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