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Simplifying -7x + -32 = -4(x + 2) Reorder the terms: -32 + -7x = -4(x + 2) Reorder the terms: -32 + -7x = -4(2 + x) -32 + -7x = (2 * -4 + x * -4) -32 + -7x = (-8 + -4x) Solving -32 + -7x = -8 + -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 + -7x + 4x = -8 + -4x + 4x Combine like terms: -7x + 4x = -3x -32 + -3x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 -32 + -3x = -8 + 0 -32 + -3x = -8 Add '32' to each side of the equation. -32 + 32 + -3x = -8 + 32 Combine like terms: -32 + 32 = 0 0 + -3x = -8 + 32 -3x = -8 + 32 Combine like terms: -8 + 32 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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