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Simplifying -4x + -32 = 8(x + -7) Reorder the terms: -32 + -4x = 8(x + -7) Reorder the terms: -32 + -4x = 8(-7 + x) -32 + -4x = (-7 * 8 + x * 8) -32 + -4x = (-56 + 8x) Solving -32 + -4x = -56 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -32 + -4x + -8x = -56 + 8x + -8x Combine like terms: -4x + -8x = -12x -32 + -12x = -56 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + -12x = -56 + 0 -32 + -12x = -56 Add '32' to each side of the equation. -32 + 32 + -12x = -56 + 32 Combine like terms: -32 + 32 = 0 0 + -12x = -56 + 32 -12x = -56 + 32 Combine like terms: -56 + 32 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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