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Simplifying -32 + 8x = 4(3x + -1) Reorder the terms: -32 + 8x = 4(-1 + 3x) -32 + 8x = (-1 * 4 + 3x * 4) -32 + 8x = (-4 + 12x) Solving -32 + 8x = -4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -32 + 8x + -12x = -4 + 12x + -12x Combine like terms: 8x + -12x = -4x -32 + -4x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + -4x = -4 + 0 -32 + -4x = -4 Add '32' to each side of the equation. -32 + 32 + -4x = -4 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = -4 + 32 -4x = -4 + 32 Combine like terms: -4 + 32 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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