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Simplifying 5(x + 1) * 2 + 2 = 22 Reorder the terms: 5(1 + x) * 2 + 2 = 22 Reorder the terms for easier multiplication: 5 * 2(1 + x) + 2 = 22 Multiply 5 * 2 10(1 + x) + 2 = 22 (1 * 10 + x * 10) + 2 = 22 (10 + 10x) + 2 = 22 Reorder the terms: 10 + 2 + 10x = 22 Combine like terms: 10 + 2 = 12 12 + 10x = 22 Solving 12 + 10x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 10x = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 22 + -12 10x = 22 + -12 Combine like terms: 22 + -12 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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