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Simplifying 4(7 + -1(-2x + -8)) = 16x + 92 Reorder the terms: 4(7 + -1(-8 + -2x)) = 16x + 92 4(7 + (-8 * -1 + -2x * -1)) = 16x + 92 4(7 + (8 + 2x)) = 16x + 92 Combine like terms: 7 + 8 = 15 4(15 + 2x) = 16x + 92 (15 * 4 + 2x * 4) = 16x + 92 (60 + 8x) = 16x + 92 Reorder the terms: 60 + 8x = 92 + 16x Solving 60 + 8x = 92 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 60 + 8x + -16x = 92 + 16x + -16x Combine like terms: 8x + -16x = -8x 60 + -8x = 92 + 16x + -16x Combine like terms: 16x + -16x = 0 60 + -8x = 92 + 0 60 + -8x = 92 Add '-60' to each side of the equation. 60 + -60 + -8x = 92 + -60 Combine like terms: 60 + -60 = 0 0 + -8x = 92 + -60 -8x = 92 + -60 Combine like terms: 92 + -60 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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