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Simplifying 2(-7x + -6) = 29(x + -6) + 7x Reorder the terms: 2(-6 + -7x) = 29(x + -6) + 7x (-6 * 2 + -7x * 2) = 29(x + -6) + 7x (-12 + -14x) = 29(x + -6) + 7x Reorder the terms: -12 + -14x = 29(-6 + x) + 7x -12 + -14x = (-6 * 29 + x * 29) + 7x -12 + -14x = (-174 + 29x) + 7x Combine like terms: 29x + 7x = 36x -12 + -14x = -174 + 36x Solving -12 + -14x = -174 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -12 + -14x + -36x = -174 + 36x + -36x Combine like terms: -14x + -36x = -50x -12 + -50x = -174 + 36x + -36x Combine like terms: 36x + -36x = 0 -12 + -50x = -174 + 0 -12 + -50x = -174 Add '12' to each side of the equation. -12 + 12 + -50x = -174 + 12 Combine like terms: -12 + 12 = 0 0 + -50x = -174 + 12 -50x = -174 + 12 Combine like terms: -174 + 12 = -162 -50x = -162 Divide each side by '-50'. x = 3.24 Simplifying x = 3.24
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