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Simplifying 4(x + -2) + 8(-1x + 3) = 44 Reorder the terms: 4(-2 + x) + 8(-1x + 3) = 44 (-2 * 4 + x * 4) + 8(-1x + 3) = 44 (-8 + 4x) + 8(-1x + 3) = 44 Reorder the terms: -8 + 4x + 8(3 + -1x) = 44 -8 + 4x + (3 * 8 + -1x * 8) = 44 -8 + 4x + (24 + -8x) = 44 Reorder the terms: -8 + 24 + 4x + -8x = 44 Combine like terms: -8 + 24 = 16 16 + 4x + -8x = 44 Combine like terms: 4x + -8x = -4x 16 + -4x = 44 Solving 16 + -4x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -4x = 44 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = 44 + -16 -4x = 44 + -16 Combine like terms: 44 + -16 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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