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Simplifying -189 = -2x + -3(7x + 17) Reorder the terms: -189 = -2x + -3(17 + 7x) -189 = -2x + (17 * -3 + 7x * -3) -189 = -2x + (-51 + -21x) Reorder the terms: -189 = -51 + -2x + -21x Combine like terms: -2x + -21x = -23x -189 = -51 + -23x Solving -189 = -51 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. -189 + 23x = -51 + -23x + 23x Combine like terms: -23x + 23x = 0 -189 + 23x = -51 + 0 -189 + 23x = -51 Add '189' to each side of the equation. -189 + 189 + 23x = -51 + 189 Combine like terms: -189 + 189 = 0 0 + 23x = -51 + 189 23x = -51 + 189 Combine like terms: -51 + 189 = 138 23x = 138 Divide each side by '23'. x = 6 Simplifying x = 6
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