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Simplifying 38 = 3x + 2(x + -11) Reorder the terms: 38 = 3x + 2(-11 + x) 38 = 3x + (-11 * 2 + x * 2) 38 = 3x + (-22 + 2x) Reorder the terms: 38 = -22 + 3x + 2x Combine like terms: 3x + 2x = 5x 38 = -22 + 5x Solving 38 = -22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 38 + -5x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 38 + -5x = -22 + 0 38 + -5x = -22 Add '-38' to each side of the equation. 38 + -38 + -5x = -22 + -38 Combine like terms: 38 + -38 = 0 0 + -5x = -22 + -38 -5x = -22 + -38 Combine like terms: -22 + -38 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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