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Simplifying 20 + -10(3x + -5) + 12 = 8(x + 91) Reorder the terms: 20 + -10(-5 + 3x) + 12 = 8(x + 91) 20 + (-5 * -10 + 3x * -10) + 12 = 8(x + 91) 20 + (50 + -30x) + 12 = 8(x + 91) Reorder the terms: 20 + 50 + 12 + -30x = 8(x + 91) Combine like terms: 20 + 50 = 70 70 + 12 + -30x = 8(x + 91) Combine like terms: 70 + 12 = 82 82 + -30x = 8(x + 91) Reorder the terms: 82 + -30x = 8(91 + x) 82 + -30x = (91 * 8 + x * 8) 82 + -30x = (728 + 8x) Solving 82 + -30x = 728 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 82 + -30x + -8x = 728 + 8x + -8x Combine like terms: -30x + -8x = -38x 82 + -38x = 728 + 8x + -8x Combine like terms: 8x + -8x = 0 82 + -38x = 728 + 0 82 + -38x = 728 Add '-82' to each side of the equation. 82 + -82 + -38x = 728 + -82 Combine like terms: 82 + -82 = 0 0 + -38x = 728 + -82 -38x = 728 + -82 Combine like terms: 728 + -82 = 646 -38x = 646 Divide each side by '-38'. x = -17 Simplifying x = -17
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