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Simplifying 17 + 3x = -5(x + 3) Reorder the terms: 17 + 3x = -5(3 + x) 17 + 3x = (3 * -5 + x * -5) 17 + 3x = (-15 + -5x) Solving 17 + 3x = -15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 17 + 3x + 5x = -15 + -5x + 5x Combine like terms: 3x + 5x = 8x 17 + 8x = -15 + -5x + 5x Combine like terms: -5x + 5x = 0 17 + 8x = -15 + 0 17 + 8x = -15 Add '-17' to each side of the equation. 17 + -17 + 8x = -15 + -17 Combine like terms: 17 + -17 = 0 0 + 8x = -15 + -17 8x = -15 + -17 Combine like terms: -15 + -17 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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