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Simplifying -7x + 3(-5x + 17) = -147 Reorder the terms: -7x + 3(17 + -5x) = -147 -7x + (17 * 3 + -5x * 3) = -147 -7x + (51 + -15x) = -147 Reorder the terms: 51 + -7x + -15x = -147 Combine like terms: -7x + -15x = -22x 51 + -22x = -147 Solving 51 + -22x = -147 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -22x = -147 + -51 Combine like terms: 51 + -51 = 0 0 + -22x = -147 + -51 -22x = -147 + -51 Combine like terms: -147 + -51 = -198 -22x = -198 Divide each side by '-22'. x = 9 Simplifying x = 9
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