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Simplifying 32 = 2(x + 2) + 2(7) Reorder the terms: 32 = 2(2 + x) + 2(7) 32 = (2 * 2 + x * 2) + 2(7) 32 = (4 + 2x) + 2(7) Multiply 2 * 7 32 = 4 + 2x + 14 Reorder the terms: 32 = 4 + 14 + 2x Combine like terms: 4 + 14 = 18 32 = 18 + 2x Solving 32 = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 32 + -2x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + -2x = 18 + 0 32 + -2x = 18 Add '-32' to each side of the equation. 32 + -32 + -2x = 18 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = 18 + -32 -2x = 18 + -32 Combine like terms: 18 + -32 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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