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Simplifying -182 = 7 + -7(7 + 5x) -182 = 7 + (7 * -7 + 5x * -7) -182 = 7 + (-49 + -35x) Combine like terms: 7 + -49 = -42 -182 = -42 + -35x Solving -182 = -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. -182 + 35x = -42 + -35x + 35x Combine like terms: -35x + 35x = 0 -182 + 35x = -42 + 0 -182 + 35x = -42 Add '182' to each side of the equation. -182 + 182 + 35x = -42 + 182 Combine like terms: -182 + 182 = 0 0 + 35x = -42 + 182 35x = -42 + 182 Combine like terms: -42 + 182 = 140 35x = 140 Divide each side by '35'. x = 4 Simplifying x = 4
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