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Simplifying 5(3x + 5) + -8 = 4x + 39 Reorder the terms: 5(5 + 3x) + -8 = 4x + 39 (5 * 5 + 3x * 5) + -8 = 4x + 39 (25 + 15x) + -8 = 4x + 39 Reorder the terms: 25 + -8 + 15x = 4x + 39 Combine like terms: 25 + -8 = 17 17 + 15x = 4x + 39 Reorder the terms: 17 + 15x = 39 + 4x Solving 17 + 15x = 39 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 17 + 15x + -4x = 39 + 4x + -4x Combine like terms: 15x + -4x = 11x 17 + 11x = 39 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + 11x = 39 + 0 17 + 11x = 39 Add '-17' to each side of the equation. 17 + -17 + 11x = 39 + -17 Combine like terms: 17 + -17 = 0 0 + 11x = 39 + -17 11x = 39 + -17 Combine like terms: 39 + -17 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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