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Simplifying -170 = -7x + 3(-2x + -9) Reorder the terms: -170 = -7x + 3(-9 + -2x) -170 = -7x + (-9 * 3 + -2x * 3) -170 = -7x + (-27 + -6x) Reorder the terms: -170 = -27 + -7x + -6x Combine like terms: -7x + -6x = -13x -170 = -27 + -13x Solving -170 = -27 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -170 + 13x = -27 + -13x + 13x Combine like terms: -13x + 13x = 0 -170 + 13x = -27 + 0 -170 + 13x = -27 Add '170' to each side of the equation. -170 + 170 + 13x = -27 + 170 Combine like terms: -170 + 170 = 0 0 + 13x = -27 + 170 13x = -27 + 170 Combine like terms: -27 + 170 = 143 13x = 143 Divide each side by '13'. x = 11 Simplifying x = 11
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