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Simplifying -163 = 7x + 6(-3x + -18) Reorder the terms: -163 = 7x + 6(-18 + -3x) -163 = 7x + (-18 * 6 + -3x * 6) -163 = 7x + (-108 + -18x) Reorder the terms: -163 = -108 + 7x + -18x Combine like terms: 7x + -18x = -11x -163 = -108 + -11x Solving -163 = -108 + -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 = -108 + -11x + 11x Combine like terms: -11x + 11x = 0 -163 + 11x = -108 + 0 -163 + 11x = -108 Add '163' to each side of the equation. -163 + 163 + 11x = -108 + 163 Combine like terms: -163 + 163 = 0 0 + 11x = -108 + 163 11x = -108 + 163 Combine like terms: -108 + 163 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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