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Simplifying -217 = 7(-5x + 14) Reorder the terms: -217 = 7(14 + -5x) -217 = (14 * 7 + -5x * 7) -217 = (98 + -35x) Solving -217 = 98 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -217 + 35x = 98 + -35x + 35x Combine like terms: -35x + 35x = 0 -217 + 35x = 98 + 0 -217 + 35x = 98 Add '217' to each side of the equation. -217 + 217 + 35x = 98 + 217 Combine like terms: -217 + 217 = 0 0 + 35x = 98 + 217 35x = 98 + 217 Combine like terms: 98 + 217 = 315 35x = 315 Divide each side by '35'. x = 9 Simplifying x = 9
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