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Simplifying 5(3x + 1) = 2(4x + 13) Reorder the terms: 5(1 + 3x) = 2(4x + 13) (1 * 5 + 3x * 5) = 2(4x + 13) (5 + 15x) = 2(4x + 13) Reorder the terms: 5 + 15x = 2(13 + 4x) 5 + 15x = (13 * 2 + 4x * 2) 5 + 15x = (26 + 8x) Solving 5 + 15x = 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. 5 + 15x + -8x = 26 + 8x + -8x Combine like terms: 15x + -8x = 7x 5 + 7x = 26 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + 7x = 26 + 0 5 + 7x = 26 Add '-5' to each side of the equation. 5 + -5 + 7x = 26 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 26 + -5 7x = 26 + -5 Combine like terms: 26 + -5 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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