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Simplifying 2(2x + 17 + -2x) = 2x + 18 + -13 Reorder the terms: 2(17 + 2x + -2x) = 2x + 18 + -13 Combine like terms: 2x + -2x = 0 2(17 + 0) = 2x + 18 + -13 2(17) = 2x + 18 + -13 Multiply 2 * 17 34 = 2x + 18 + -13 Reorder the terms: 34 = 18 + -13 + 2x Combine like terms: 18 + -13 = 5 34 = 5 + 2x Solving 34 = 5 + 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. 34 + -2x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 34 + -2x = 5 + 0 34 + -2x = 5 Add '-34' to each side of the equation. 34 + -34 + -2x = 5 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = 5 + -34 -2x = 5 + -34 Combine like terms: 5 + -34 = -29 -2x = -29 Divide each side by '-2'. x = 14.5 Simplifying x = 14.5
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