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Simplifying 7(x + 10) = 5x + 80 Reorder the terms: 7(10 + x) = 5x + 80 (10 * 7 + x * 7) = 5x + 80 (70 + 7x) = 5x + 80 Reorder the terms: 70 + 7x = 80 + 5x Solving 70 + 7x = 80 + 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. 70 + 7x + -5x = 80 + 5x + -5x Combine like terms: 7x + -5x = 2x 70 + 2x = 80 + 5x + -5x Combine like terms: 5x + -5x = 0 70 + 2x = 80 + 0 70 + 2x = 80 Add '-70' to each side of the equation. 70 + -70 + 2x = 80 + -70 Combine like terms: 70 + -70 = 0 0 + 2x = 80 + -70 2x = 80 + -70 Combine like terms: 80 + -70 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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