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Simplifying 6 + -4(13 + -4x) = (-9 + -8x)(-4) + 20 6 + (13 * -4 + -4x * -4) = (-9 + -8x)(-4) + 20 6 + (-52 + 16x) = (-9 + -8x)(-4) + 20 Combine like terms: 6 + -52 = -46 -46 + 16x = (-9 + -8x)(-4) + 20 Reorder the terms for easier multiplication: -46 + 16x = -4(-9 + -8x) + 20 -46 + 16x = (-9 * -4 + -8x * -4) + 20 -46 + 16x = (36 + 32x) + 20 Reorder the terms: -46 + 16x = 36 + 20 + 32x Combine like terms: 36 + 20 = 56 -46 + 16x = 56 + 32x Solving -46 + 16x = 56 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -46 + 16x + -32x = 56 + 32x + -32x Combine like terms: 16x + -32x = -16x -46 + -16x = 56 + 32x + -32x Combine like terms: 32x + -32x = 0 -46 + -16x = 56 + 0 -46 + -16x = 56 Add '46' to each side of the equation. -46 + 46 + -16x = 56 + 46 Combine like terms: -46 + 46 = 0 0 + -16x = 56 + 46 -16x = 56 + 46 Combine like terms: 56 + 46 = 102 -16x = 102 Divide each side by '-16'. x = -6.375 Simplifying x = -6.375
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