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Simplifying 7x + -6(6x + -17) = -130 Reorder the terms: 7x + -6(-17 + 6x) = -130 7x + (-17 * -6 + 6x * -6) = -130 7x + (102 + -36x) = -130 Reorder the terms: 102 + 7x + -36x = -130 Combine like terms: 7x + -36x = -29x 102 + -29x = -130 Solving 102 + -29x = -130 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + -29x = -130 + -102 Combine like terms: 102 + -102 = 0 0 + -29x = -130 + -102 -29x = -130 + -102 Combine like terms: -130 + -102 = -232 -29x = -232 Divide each side by '-29'. x = 8 Simplifying x = 8
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