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Simplifying 5(x + 3) * 2 + 2 = 12 Reorder the terms: 5(3 + x) * 2 + 2 = 12 Reorder the terms for easier multiplication: 5 * 2(3 + x) + 2 = 12 Multiply 5 * 2 10(3 + x) + 2 = 12 (3 * 10 + x * 10) + 2 = 12 (30 + 10x) + 2 = 12 Reorder the terms: 30 + 2 + 10x = 12 Combine like terms: 30 + 2 = 32 32 + 10x = 12 Solving 32 + 10x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 10x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 10x = 12 + -32 10x = 12 + -32 Combine like terms: 12 + -32 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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