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Simplifying 3(4x + 5) + 7 = 2(3x + 13) Reorder the terms: 3(5 + 4x) + 7 = 2(3x + 13) (5 * 3 + 4x * 3) + 7 = 2(3x + 13) (15 + 12x) + 7 = 2(3x + 13) Reorder the terms: 15 + 7 + 12x = 2(3x + 13) Combine like terms: 15 + 7 = 22 22 + 12x = 2(3x + 13) Reorder the terms: 22 + 12x = 2(13 + 3x) 22 + 12x = (13 * 2 + 3x * 2) 22 + 12x = (26 + 6x) Solving 22 + 12x = 26 + 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. 22 + 12x + -6x = 26 + 6x + -6x Combine like terms: 12x + -6x = 6x 22 + 6x = 26 + 6x + -6x Combine like terms: 6x + -6x = 0 22 + 6x = 26 + 0 22 + 6x = 26 Add '-22' to each side of the equation. 22 + -22 + 6x = 26 + -22 Combine like terms: 22 + -22 = 0 0 + 6x = 26 + -22 6x = 26 + -22 Combine like terms: 26 + -22 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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