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Simplifying 7x + 7 = 2(3x + 5) Reorder the terms: 7 + 7x = 2(3x + 5) Reorder the terms: 7 + 7x = 2(5 + 3x) 7 + 7x = (5 * 2 + 3x * 2) 7 + 7x = (10 + 6x) Solving 7 + 7x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 7x + -6x = 10 + 6x + -6x Combine like terms: 7x + -6x = 1x 7 + 1x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 1x = 10 + 0 7 + 1x = 10 Add '-7' to each side of the equation. 7 + -7 + 1x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 10 + -7 1x = 10 + -7 Combine like terms: 10 + -7 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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