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Simplifying 2 + 2(2x + 5) = 3x + 17 Reorder the terms: 2 + 2(5 + 2x) = 3x + 17 2 + (5 * 2 + 2x * 2) = 3x + 17 2 + (10 + 4x) = 3x + 17 Combine like terms: 2 + 10 = 12 12 + 4x = 3x + 17 Reorder the terms: 12 + 4x = 17 + 3x Solving 12 + 4x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 4x + -3x = 17 + 3x + -3x Combine like terms: 4x + -3x = 1x 12 + 1x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 1x = 17 + 0 12 + 1x = 17 Add '-12' to each side of the equation. 12 + -12 + 1x = 17 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 17 + -12 1x = 17 + -12 Combine like terms: 17 + -12 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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