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Simplifying 163 = -7x + -6(-3x + -7) Reorder the terms: 163 = -7x + -6(-7 + -3x) 163 = -7x + (-7 * -6 + -3x * -6) 163 = -7x + (42 + 18x) Reorder the terms: 163 = 42 + -7x + 18x Combine like terms: -7x + 18x = 11x 163 = 42 + 11x Solving 163 = 42 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 163 + -11x = 42 + 11x + -11x Combine like terms: 11x + -11x = 0 163 + -11x = 42 + 0 163 + -11x = 42 Add '-163' to each side of the equation. 163 + -163 + -11x = 42 + -163 Combine like terms: 163 + -163 = 0 0 + -11x = 42 + -163 -11x = 42 + -163 Combine like terms: 42 + -163 = -121 -11x = -121 Divide each side by '-11'. x = 11 Simplifying x = 11
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