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Simplifying 7(1 + 2x) = 28 + -7x (1 * 7 + 2x * 7) = 28 + -7x (7 + 14x) = 28 + -7x Solving 7 + 14x = 28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 7 + 14x + 7x = 28 + -7x + 7x Combine like terms: 14x + 7x = 21x 7 + 21x = 28 + -7x + 7x Combine like terms: -7x + 7x = 0 7 + 21x = 28 + 0 7 + 21x = 28 Add '-7' to each side of the equation. 7 + -7 + 21x = 28 + -7 Combine like terms: 7 + -7 = 0 0 + 21x = 28 + -7 21x = 28 + -7 Combine like terms: 28 + -7 = 21 21x = 21 Divide each side by '21'. x = 1 Simplifying x = 1
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