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Simplifying 7(2x + 3) = 4x + 1 Reorder the terms: 7(3 + 2x) = 4x + 1 (3 * 7 + 2x * 7) = 4x + 1 (21 + 14x) = 4x + 1 Reorder the terms: 21 + 14x = 1 + 4x Solving 21 + 14x = 1 + 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 + 14x + -4x = 1 + 4x + -4x Combine like terms: 14x + -4x = 10x 21 + 10x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 10x = 1 + 0 21 + 10x = 1 Add '-21' to each side of the equation. 21 + -21 + 10x = 1 + -21 Combine like terms: 21 + -21 = 0 0 + 10x = 1 + -21 10x = 1 + -21 Combine like terms: 1 + -21 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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