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Simplifying 7x + -6(6x + -10) = -114 Reorder the terms: 7x + -6(-10 + 6x) = -114 7x + (-10 * -6 + 6x * -6) = -114 7x + (60 + -36x) = -114 Reorder the terms: 60 + 7x + -36x = -114 Combine like terms: 7x + -36x = -29x 60 + -29x = -114 Solving 60 + -29x = -114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -29x = -114 + -60 Combine like terms: 60 + -60 = 0 0 + -29x = -114 + -60 -29x = -114 + -60 Combine like terms: -114 + -60 = -174 -29x = -174 Divide each side by '-29'. x = 6 Simplifying x = 6
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