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Simplifying -52 = 4x + 2(-4x + -6) Reorder the terms: -52 = 4x + 2(-6 + -4x) -52 = 4x + (-6 * 2 + -4x * 2) -52 = 4x + (-12 + -8x) Reorder the terms: -52 = -12 + 4x + -8x Combine like terms: 4x + -8x = -4x -52 = -12 + -4x Solving -52 = -12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -52 + 4x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 -52 + 4x = -12 + 0 -52 + 4x = -12 Add '52' to each side of the equation. -52 + 52 + 4x = -12 + 52 Combine like terms: -52 + 52 = 0 0 + 4x = -12 + 52 4x = -12 + 52 Combine like terms: -12 + 52 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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