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Simplifying 2(x + -4) + -4(x + -5) = -52 Reorder the terms: 2(-4 + x) + -4(x + -5) = -52 (-4 * 2 + x * 2) + -4(x + -5) = -52 (-8 + 2x) + -4(x + -5) = -52 Reorder the terms: -8 + 2x + -4(-5 + x) = -52 -8 + 2x + (-5 * -4 + x * -4) = -52 -8 + 2x + (20 + -4x) = -52 Reorder the terms: -8 + 20 + 2x + -4x = -52 Combine like terms: -8 + 20 = 12 12 + 2x + -4x = -52 Combine like terms: 2x + -4x = -2x 12 + -2x = -52 Solving 12 + -2x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2x = -52 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -52 + -12 -2x = -52 + -12 Combine like terms: -52 + -12 = -64 -2x = -64 Divide each side by '-2'. x = 32 Simplifying x = 32
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