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Simplifying 38 = 3 + 5(x + 6) Reorder the terms: 38 = 3 + 5(6 + x) 38 = 3 + (6 * 5 + x * 5) 38 = 3 + (30 + 5x) Combine like terms: 3 + 30 = 33 38 = 33 + 5x Solving 38 = 33 + 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 = 33 + 5x + -5x Combine like terms: 5x + -5x = 0 38 + -5x = 33 + 0 38 + -5x = 33 Add '-38' to each side of the equation. 38 + -38 + -5x = 33 + -38 Combine like terms: 38 + -38 = 0 0 + -5x = 33 + -38 -5x = 33 + -38 Combine like terms: 33 + -38 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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