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Simplifying 7x + 6(-3x + -7) = -174 Reorder the terms: 7x + 6(-7 + -3x) = -174 7x + (-7 * 6 + -3x * 6) = -174 7x + (-42 + -18x) = -174 Reorder the terms: -42 + 7x + -18x = -174 Combine like terms: 7x + -18x = -11x -42 + -11x = -174 Solving -42 + -11x = -174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -11x = -174 + 42 Combine like terms: -42 + 42 = 0 0 + -11x = -174 + 42 -11x = -174 + 42 Combine like terms: -174 + 42 = -132 -11x = -132 Divide each side by '-11'. x = 12 Simplifying x = 12
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