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Simplifying -217 = -7x + -7(4x + 6) Reorder the terms: -217 = -7x + -7(6 + 4x) -217 = -7x + (6 * -7 + 4x * -7) -217 = -7x + (-42 + -28x) Reorder the terms: -217 = -42 + -7x + -28x Combine like terms: -7x + -28x = -35x -217 = -42 + -35x Solving -217 = -42 + -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 = -42 + -35x + 35x Combine like terms: -35x + 35x = 0 -217 + 35x = -42 + 0 -217 + 35x = -42 Add '217' to each side of the equation. -217 + 217 + 35x = -42 + 217 Combine like terms: -217 + 217 = 0 0 + 35x = -42 + 217 35x = -42 + 217 Combine like terms: -42 + 217 = 175 35x = 175 Divide each side by '35'. x = 5 Simplifying x = 5
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