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Simplifying 8x + 39 = 5(2x + 5) Reorder the terms: 39 + 8x = 5(2x + 5) Reorder the terms: 39 + 8x = 5(5 + 2x) 39 + 8x = (5 * 5 + 2x * 5) 39 + 8x = (25 + 10x) Solving 39 + 8x = 25 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 39 + 8x + -10x = 25 + 10x + -10x Combine like terms: 8x + -10x = -2x 39 + -2x = 25 + 10x + -10x Combine like terms: 10x + -10x = 0 39 + -2x = 25 + 0 39 + -2x = 25 Add '-39' to each side of the equation. 39 + -39 + -2x = 25 + -39 Combine like terms: 39 + -39 = 0 0 + -2x = 25 + -39 -2x = 25 + -39 Combine like terms: 25 + -39 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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