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Simplifying 5(3x + 5) + -8x + -6 = 164 Reorder the terms: 5(5 + 3x) + -8x + -6 = 164 (5 * 5 + 3x * 5) + -8x + -6 = 164 (25 + 15x) + -8x + -6 = 164 Reorder the terms: 25 + -6 + 15x + -8x = 164 Combine like terms: 25 + -6 = 19 19 + 15x + -8x = 164 Combine like terms: 15x + -8x = 7x 19 + 7x = 164 Solving 19 + 7x = 164 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 7x = 164 + -19 Combine like terms: 19 + -19 = 0 0 + 7x = 164 + -19 7x = 164 + -19 Combine like terms: 164 + -19 = 145 7x = 145 Divide each side by '7'. x = 20.71428571 Simplifying x = 20.71428571
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