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Simplifying 2(x + 1) = -3x + 38 Reorder the terms: 2(1 + x) = -3x + 38 (1 * 2 + x * 2) = -3x + 38 (2 + 2x) = -3x + 38 Reorder the terms: 2 + 2x = 38 + -3x Solving 2 + 2x = 38 + -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. 2 + 2x + 3x = 38 + -3x + 3x Combine like terms: 2x + 3x = 5x 2 + 5x = 38 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 5x = 38 + 0 2 + 5x = 38 Add '-2' to each side of the equation. 2 + -2 + 5x = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 38 + -2 5x = 38 + -2 Combine like terms: 38 + -2 = 36 5x = 36 Divide each side by '5'. x = 7.2 Simplifying x = 7.2
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