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Simplifying 9x + 38 = 5(x + 2) Reorder the terms: 38 + 9x = 5(x + 2) Reorder the terms: 38 + 9x = 5(2 + x) 38 + 9x = (2 * 5 + x * 5) 38 + 9x = (10 + 5x) Solving 38 + 9x = 10 + 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 + 9x + -5x = 10 + 5x + -5x Combine like terms: 9x + -5x = 4x 38 + 4x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 38 + 4x = 10 + 0 38 + 4x = 10 Add '-38' to each side of the equation. 38 + -38 + 4x = 10 + -38 Combine like terms: 38 + -38 = 0 0 + 4x = 10 + -38 4x = 10 + -38 Combine like terms: 10 + -38 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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