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Simplifying 7x + -6(6x + -4) = 8 + -3(x + -8) Reorder the terms: 7x + -6(-4 + 6x) = 8 + -3(x + -8) 7x + (-4 * -6 + 6x * -6) = 8 + -3(x + -8) 7x + (24 + -36x) = 8 + -3(x + -8) Reorder the terms: 24 + 7x + -36x = 8 + -3(x + -8) Combine like terms: 7x + -36x = -29x 24 + -29x = 8 + -3(x + -8) Reorder the terms: 24 + -29x = 8 + -3(-8 + x) 24 + -29x = 8 + (-8 * -3 + x * -3) 24 + -29x = 8 + (24 + -3x) Combine like terms: 8 + 24 = 32 24 + -29x = 32 + -3x Solving 24 + -29x = 32 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 24 + -29x + 3x = 32 + -3x + 3x Combine like terms: -29x + 3x = -26x 24 + -26x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + -26x = 32 + 0 24 + -26x = 32 Add '-24' to each side of the equation. 24 + -24 + -26x = 32 + -24 Combine like terms: 24 + -24 = 0 0 + -26x = 32 + -24 -26x = 32 + -24 Combine like terms: 32 + -24 = 8 -26x = 8 Divide each side by '-26'. x = -0.3076923077 Simplifying x = -0.3076923077
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