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Simplifying 7(x + 6) + 10 = 45 Reorder the terms: 7(6 + x) + 10 = 45 (6 * 7 + x * 7) + 10 = 45 (42 + 7x) + 10 = 45 Reorder the terms: 42 + 10 + 7x = 45 Combine like terms: 42 + 10 = 52 52 + 7x = 45 Solving 52 + 7x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 7x = 45 + -52 Combine like terms: 52 + -52 = 0 0 + 7x = 45 + -52 7x = 45 + -52 Combine like terms: 45 + -52 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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