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Simplifying 5(3x + 1) = 4(2x + 3) Reorder the terms: 5(1 + 3x) = 4(2x + 3) (1 * 5 + 3x * 5) = 4(2x + 3) (5 + 15x) = 4(2x + 3) Reorder the terms: 5 + 15x = 4(3 + 2x) 5 + 15x = (3 * 4 + 2x * 4) 5 + 15x = (12 + 8x) Solving 5 + 15x = 12 + 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 = 12 + 8x + -8x Combine like terms: 15x + -8x = 7x 5 + 7x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + 7x = 12 + 0 5 + 7x = 12 Add '-5' to each side of the equation. 5 + -5 + 7x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 12 + -5 7x = 12 + -5 Combine like terms: 12 + -5 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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