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Simplifying 4(x + -8) + -2(x + -5) = -52 Reorder the terms: 4(-8 + x) + -2(x + -5) = -52 (-8 * 4 + x * 4) + -2(x + -5) = -52 (-32 + 4x) + -2(x + -5) = -52 Reorder the terms: -32 + 4x + -2(-5 + x) = -52 -32 + 4x + (-5 * -2 + x * -2) = -52 -32 + 4x + (10 + -2x) = -52 Reorder the terms: -32 + 10 + 4x + -2x = -52 Combine like terms: -32 + 10 = -22 -22 + 4x + -2x = -52 Combine like terms: 4x + -2x = 2x -22 + 2x = -52 Solving -22 + 2x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 2x = -52 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = -52 + 22 2x = -52 + 22 Combine like terms: -52 + 22 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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