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Simplifying 3(5x + 7) = 4x + 43 Reorder the terms: 3(7 + 5x) = 4x + 43 (7 * 3 + 5x * 3) = 4x + 43 (21 + 15x) = 4x + 43 Reorder the terms: 21 + 15x = 43 + 4x Solving 21 + 15x = 43 + 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. 21 + 15x + -4x = 43 + 4x + -4x Combine like terms: 15x + -4x = 11x 21 + 11x = 43 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 11x = 43 + 0 21 + 11x = 43 Add '-21' to each side of the equation. 21 + -21 + 11x = 43 + -21 Combine like terms: 21 + -21 = 0 0 + 11x = 43 + -21 11x = 43 + -21 Combine like terms: 43 + -21 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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