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Simplifying (3x + 4) * 2 = 7(3x + 4) Reorder the terms: (4 + 3x) * 2 = 7(3x + 4) Reorder the terms for easier multiplication: 2(4 + 3x) = 7(3x + 4) (4 * 2 + 3x * 2) = 7(3x + 4) (8 + 6x) = 7(3x + 4) Reorder the terms: 8 + 6x = 7(4 + 3x) 8 + 6x = (4 * 7 + 3x * 7) 8 + 6x = (28 + 21x) Solving 8 + 6x = 28 + 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. 8 + 6x + -21x = 28 + 21x + -21x Combine like terms: 6x + -21x = -15x 8 + -15x = 28 + 21x + -21x Combine like terms: 21x + -21x = 0 8 + -15x = 28 + 0 8 + -15x = 28 Add '-8' to each side of the equation. 8 + -8 + -15x = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -15x = 28 + -8 -15x = 28 + -8 Combine like terms: 28 + -8 = 20 -15x = 20 Divide each side by '-15'. x = -1.333333333 Simplifying x = -1.333333333
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