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Simplifying 5x + 3(-5x + -6) + -7 = 82 Reorder the terms: 5x + 3(-6 + -5x) + -7 = 82 5x + (-6 * 3 + -5x * 3) + -7 = 82 5x + (-18 + -15x) + -7 = 82 Reorder the terms: -18 + -7 + 5x + -15x = 82 Combine like terms: -18 + -7 = -25 -25 + 5x + -15x = 82 Combine like terms: 5x + -15x = -10x -25 + -10x = 82 Solving -25 + -10x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -10x = 82 + 25 Combine like terms: -25 + 25 = 0 0 + -10x = 82 + 25 -10x = 82 + 25 Combine like terms: 82 + 25 = 107 -10x = 107 Divide each side by '-10'. x = -10.7 Simplifying x = -10.7
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