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Simplifying 5(3x + 5) = 3(x + -5) + 17 Reorder the terms: 5(5 + 3x) = 3(x + -5) + 17 (5 * 5 + 3x * 5) = 3(x + -5) + 17 (25 + 15x) = 3(x + -5) + 17 Reorder the terms: 25 + 15x = 3(-5 + x) + 17 25 + 15x = (-5 * 3 + x * 3) + 17 25 + 15x = (-15 + 3x) + 17 Reorder the terms: 25 + 15x = -15 + 17 + 3x Combine like terms: -15 + 17 = 2 25 + 15x = 2 + 3x Solving 25 + 15x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 25 + 15x + -3x = 2 + 3x + -3x Combine like terms: 15x + -3x = 12x 25 + 12x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 25 + 12x = 2 + 0 25 + 12x = 2 Add '-25' to each side of the equation. 25 + -25 + 12x = 2 + -25 Combine like terms: 25 + -25 = 0 0 + 12x = 2 + -25 12x = 2 + -25 Combine like terms: 2 + -25 = -23 12x = -23 Divide each side by '12'. x = -1.916666667 Simplifying x = -1.916666667
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