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Simplifying 8(5 + -3x) + -4(2 + 3x) = -82 (5 * 8 + -3x * 8) + -4(2 + 3x) = -82 (40 + -24x) + -4(2 + 3x) = -82 40 + -24x + (2 * -4 + 3x * -4) = -82 40 + -24x + (-8 + -12x) = -82 Reorder the terms: 40 + -8 + -24x + -12x = -82 Combine like terms: 40 + -8 = 32 32 + -24x + -12x = -82 Combine like terms: -24x + -12x = -36x 32 + -36x = -82 Solving 32 + -36x = -82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -36x = -82 + -32 Combine like terms: 32 + -32 = 0 0 + -36x = -82 + -32 -36x = -82 + -32 Combine like terms: -82 + -32 = -114 -36x = -114 Divide each side by '-36'. x = 3.166666667 Simplifying x = 3.166666667
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