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Simplifying 5(3x + 1) = 7(x + 3) Reorder the terms: 5(1 + 3x) = 7(x + 3) (1 * 5 + 3x * 5) = 7(x + 3) (5 + 15x) = 7(x + 3) Reorder the terms: 5 + 15x = 7(3 + x) 5 + 15x = (3 * 7 + x * 7) 5 + 15x = (21 + 7x) Solving 5 + 15x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + 15x + -7x = 21 + 7x + -7x Combine like terms: 15x + -7x = 8x 5 + 8x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + 8x = 21 + 0 5 + 8x = 21 Add '-5' to each side of the equation. 5 + -5 + 8x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 21 + -5 8x = 21 + -5 Combine like terms: 21 + -5 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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