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Simplifying 7(3x + 5) = 2(4x + 13) Reorder the terms: 7(5 + 3x) = 2(4x + 13) (5 * 7 + 3x * 7) = 2(4x + 13) (35 + 21x) = 2(4x + 13) Reorder the terms: 35 + 21x = 2(13 + 4x) 35 + 21x = (13 * 2 + 4x * 2) 35 + 21x = (26 + 8x) Solving 35 + 21x = 26 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 35 + 21x + -8x = 26 + 8x + -8x Combine like terms: 21x + -8x = 13x 35 + 13x = 26 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + 13x = 26 + 0 35 + 13x = 26 Add '-35' to each side of the equation. 35 + -35 + 13x = 26 + -35 Combine like terms: 35 + -35 = 0 0 + 13x = 26 + -35 13x = 26 + -35 Combine like terms: 26 + -35 = -9 13x = -9 Divide each side by '13'. x = -0.6923076923 Simplifying x = -0.6923076923
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