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Simplifying 7(1 + 2x) + 1 = 28 + 4x (1 * 7 + 2x * 7) + 1 = 28 + 4x (7 + 14x) + 1 = 28 + 4x Reorder the terms: 7 + 1 + 14x = 28 + 4x Combine like terms: 7 + 1 = 8 8 + 14x = 28 + 4x Solving 8 + 14x = 28 + 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. 8 + 14x + -4x = 28 + 4x + -4x Combine like terms: 14x + -4x = 10x 8 + 10x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 10x = 28 + 0 8 + 10x = 28 Add '-8' to each side of the equation. 8 + -8 + 10x = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 28 + -8 10x = 28 + -8 Combine like terms: 28 + -8 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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