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Simplifying 8(3 + 6x) + -4(1 + -4x) = -44 (3 * 8 + 6x * 8) + -4(1 + -4x) = -44 (24 + 48x) + -4(1 + -4x) = -44 24 + 48x + (1 * -4 + -4x * -4) = -44 24 + 48x + (-4 + 16x) = -44 Reorder the terms: 24 + -4 + 48x + 16x = -44 Combine like terms: 24 + -4 = 20 20 + 48x + 16x = -44 Combine like terms: 48x + 16x = 64x 20 + 64x = -44 Solving 20 + 64x = -44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 64x = -44 + -20 Combine like terms: 20 + -20 = 0 0 + 64x = -44 + -20 64x = -44 + -20 Combine like terms: -44 + -20 = -64 64x = -64 Divide each side by '64'. x = -1 Simplifying x = -1
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