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Simplifying 7x + 28 = 5(x + 8) Reorder the terms: 28 + 7x = 5(x + 8) Reorder the terms: 28 + 7x = 5(8 + x) 28 + 7x = (8 * 5 + x * 5) 28 + 7x = (40 + 5x) Solving 28 + 7x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 28 + 7x + -5x = 40 + 5x + -5x Combine like terms: 7x + -5x = 2x 28 + 2x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 28 + 2x = 40 + 0 28 + 2x = 40 Add '-28' to each side of the equation. 28 + -28 + 2x = 40 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = 40 + -28 2x = 40 + -28 Combine like terms: 40 + -28 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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