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Simplifying 7x + 28 = 8x + 4(7 + -7x) Reorder the terms: 28 + 7x = 8x + 4(7 + -7x) 28 + 7x = 8x + (7 * 4 + -7x * 4) 28 + 7x = 8x + (28 + -28x) Reorder the terms: 28 + 7x = 28 + 8x + -28x Combine like terms: 8x + -28x = -20x 28 + 7x = 28 + -20x Add '-28' to each side of the equation. 28 + -28 + 7x = 28 + -28 + -20x Combine like terms: 28 + -28 = 0 0 + 7x = 28 + -28 + -20x 7x = 28 + -28 + -20x Combine like terms: 28 + -28 = 0 7x = 0 + -20x 7x = -20x Solving 7x = -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 7x + 20x = -20x + 20x Combine like terms: 7x + 20x = 27x 27x = -20x + 20x Combine like terms: -20x + 20x = 0 27x = 0 Divide each side by '27'. x = 0 Simplifying x = 0
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