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Simplifying 167 = -7x + -6(x + -17) Reorder the terms: 167 = -7x + -6(-17 + x) 167 = -7x + (-17 * -6 + x * -6) 167 = -7x + (102 + -6x) Reorder the terms: 167 = 102 + -7x + -6x Combine like terms: -7x + -6x = -13x 167 = 102 + -13x Solving 167 = 102 + -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. 167 + 13x = 102 + -13x + 13x Combine like terms: -13x + 13x = 0 167 + 13x = 102 + 0 167 + 13x = 102 Add '-167' to each side of the equation. 167 + -167 + 13x = 102 + -167 Combine like terms: 167 + -167 = 0 0 + 13x = 102 + -167 13x = 102 + -167 Combine like terms: 102 + -167 = -65 13x = -65 Divide each side by '13'. x = -5 Simplifying x = -5
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