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Simplifying -2x + -32 = 4(x + 5) + -4 Reorder the terms: -32 + -2x = 4(x + 5) + -4 Reorder the terms: -32 + -2x = 4(5 + x) + -4 -32 + -2x = (5 * 4 + x * 4) + -4 -32 + -2x = (20 + 4x) + -4 Reorder the terms: -32 + -2x = 20 + -4 + 4x Combine like terms: 20 + -4 = 16 -32 + -2x = 16 + 4x Solving -32 + -2x = 16 + 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. -32 + -2x + -4x = 16 + 4x + -4x Combine like terms: -2x + -4x = -6x -32 + -6x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + -6x = 16 + 0 -32 + -6x = 16 Add '32' to each side of the equation. -32 + 32 + -6x = 16 + 32 Combine like terms: -32 + 32 = 0 0 + -6x = 16 + 32 -6x = 16 + 32 Combine like terms: 16 + 32 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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