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Simplifying 83 = 5x + 4(x + 5) Reorder the terms: 83 = 5x + 4(5 + x) 83 = 5x + (5 * 4 + x * 4) 83 = 5x + (20 + 4x) Reorder the terms: 83 = 20 + 5x + 4x Combine like terms: 5x + 4x = 9x 83 = 20 + 9x Solving 83 = 20 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 83 + -9x = 20 + 9x + -9x Combine like terms: 9x + -9x = 0 83 + -9x = 20 + 0 83 + -9x = 20 Add '-83' to each side of the equation. 83 + -83 + -9x = 20 + -83 Combine like terms: 83 + -83 = 0 0 + -9x = 20 + -83 -9x = 20 + -83 Combine like terms: 20 + -83 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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