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Simplifying -8(x + -4) + 4(x + 1) = 44 Reorder the terms: -8(-4 + x) + 4(x + 1) = 44 (-4 * -8 + x * -8) + 4(x + 1) = 44 (32 + -8x) + 4(x + 1) = 44 Reorder the terms: 32 + -8x + 4(1 + x) = 44 32 + -8x + (1 * 4 + x * 4) = 44 32 + -8x + (4 + 4x) = 44 Reorder the terms: 32 + 4 + -8x + 4x = 44 Combine like terms: 32 + 4 = 36 36 + -8x + 4x = 44 Combine like terms: -8x + 4x = -4x 36 + -4x = 44 Solving 36 + -4x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -4x = 44 + -36 Combine like terms: 36 + -36 = 0 0 + -4x = 44 + -36 -4x = 44 + -36 Combine like terms: 44 + -36 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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