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Simplifying 217 = -8x + -3(7x + 5) Reorder the terms: 217 = -8x + -3(5 + 7x) 217 = -8x + (5 * -3 + 7x * -3) 217 = -8x + (-15 + -21x) Reorder the terms: 217 = -15 + -8x + -21x Combine like terms: -8x + -21x = -29x 217 = -15 + -29x Solving 217 = -15 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. 217 + 29x = -15 + -29x + 29x Combine like terms: -29x + 29x = 0 217 + 29x = -15 + 0 217 + 29x = -15 Add '-217' to each side of the equation. 217 + -217 + 29x = -15 + -217 Combine like terms: 217 + -217 = 0 0 + 29x = -15 + -217 29x = -15 + -217 Combine like terms: -15 + -217 = -232 29x = -232 Divide each side by '29'. x = -8 Simplifying x = -8
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