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Simplifying 39(x + 2) = 2(x + 5) Reorder the terms: 39(2 + x) = 2(x + 5) (2 * 39 + x * 39) = 2(x + 5) (78 + 39x) = 2(x + 5) Reorder the terms: 78 + 39x = 2(5 + x) 78 + 39x = (5 * 2 + x * 2) 78 + 39x = (10 + 2x) Solving 78 + 39x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 78 + 39x + -2x = 10 + 2x + -2x Combine like terms: 39x + -2x = 37x 78 + 37x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 78 + 37x = 10 + 0 78 + 37x = 10 Add '-78' to each side of the equation. 78 + -78 + 37x = 10 + -78 Combine like terms: 78 + -78 = 0 0 + 37x = 10 + -78 37x = 10 + -78 Combine like terms: 10 + -78 = -68 37x = -68 Divide each side by '37'. x = -1.837837838 Simplifying x = -1.837837838
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