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Simplifying 4(x + -8) + -1(3x + -8) = 8 Reorder the terms: 4(-8 + x) + -1(3x + -8) = 8 (-8 * 4 + x * 4) + -1(3x + -8) = 8 (-32 + 4x) + -1(3x + -8) = 8 Reorder the terms: -32 + 4x + -1(-8 + 3x) = 8 -32 + 4x + (-8 * -1 + 3x * -1) = 8 -32 + 4x + (8 + -3x) = 8 Reorder the terms: -32 + 8 + 4x + -3x = 8 Combine like terms: -32 + 8 = -24 -24 + 4x + -3x = 8 Combine like terms: 4x + -3x = 1x -24 + 1x = 8 Solving -24 + 1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 1x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 8 + 24 1x = 8 + 24 Combine like terms: 8 + 24 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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