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Simplifying -32 + -4x = -2(-4x + 6) + -7x Reorder the terms: -32 + -4x = -2(6 + -4x) + -7x -32 + -4x = (6 * -2 + -4x * -2) + -7x -32 + -4x = (-12 + 8x) + -7x Combine like terms: 8x + -7x = 1x -32 + -4x = -12 + 1x Solving -32 + -4x = -12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -32 + -4x + -1x = -12 + 1x + -1x Combine like terms: -4x + -1x = -5x -32 + -5x = -12 + 1x + -1x Combine like terms: 1x + -1x = 0 -32 + -5x = -12 + 0 -32 + -5x = -12 Add '32' to each side of the equation. -32 + 32 + -5x = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -5x = -12 + 32 -5x = -12 + 32 Combine like terms: -12 + 32 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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