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Simplifying 4(2x + -8) + -1(5x + -12) = 4 Reorder the terms: 4(-8 + 2x) + -1(5x + -12) = 4 (-8 * 4 + 2x * 4) + -1(5x + -12) = 4 (-32 + 8x) + -1(5x + -12) = 4 Reorder the terms: -32 + 8x + -1(-12 + 5x) = 4 -32 + 8x + (-12 * -1 + 5x * -1) = 4 -32 + 8x + (12 + -5x) = 4 Reorder the terms: -32 + 12 + 8x + -5x = 4 Combine like terms: -32 + 12 = -20 -20 + 8x + -5x = 4 Combine like terms: 8x + -5x = 3x -20 + 3x = 4 Solving -20 + 3x = 4 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 + 3x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 4 + 20 3x = 4 + 20 Combine like terms: 4 + 20 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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