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Simplifying 5(3x + 1) = 4x + 7 Reorder the terms: 5(1 + 3x) = 4x + 7 (1 * 5 + 3x * 5) = 4x + 7 (5 + 15x) = 4x + 7 Reorder the terms: 5 + 15x = 7 + 4x Solving 5 + 15x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 15x + -4x = 7 + 4x + -4x Combine like terms: 15x + -4x = 11x 5 + 11x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 11x = 7 + 0 5 + 11x = 7 Add '-5' to each side of the equation. 5 + -5 + 11x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 7 + -5 11x = 7 + -5 Combine like terms: 7 + -5 = 2 11x = 2 Divide each side by '11'. x = 0.1818181818 Simplifying x = 0.1818181818
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