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Simplifying 2(x + 2) = -3x + 39 Reorder the terms: 2(2 + x) = -3x + 39 (2 * 2 + x * 2) = -3x + 39 (4 + 2x) = -3x + 39 Reorder the terms: 4 + 2x = 39 + -3x Solving 4 + 2x = 39 + -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. 4 + 2x + 3x = 39 + -3x + 3x Combine like terms: 2x + 3x = 5x 4 + 5x = 39 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 5x = 39 + 0 4 + 5x = 39 Add '-4' to each side of the equation. 4 + -4 + 5x = 39 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 39 + -4 5x = 39 + -4 Combine like terms: 39 + -4 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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