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Simplifying -7 + -7x = -8(-4 + -4x) -7 + -7x = (-4 * -8 + -4x * -8) -7 + -7x = (32 + 32x) Solving -7 + -7x = 32 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -7 + -7x + -32x = 32 + 32x + -32x Combine like terms: -7x + -32x = -39x -7 + -39x = 32 + 32x + -32x Combine like terms: 32x + -32x = 0 -7 + -39x = 32 + 0 -7 + -39x = 32 Add '7' to each side of the equation. -7 + 7 + -39x = 32 + 7 Combine like terms: -7 + 7 = 0 0 + -39x = 32 + 7 -39x = 32 + 7 Combine like terms: 32 + 7 = 39 -39x = 39 Divide each side by '-39'. x = -1 Simplifying x = -1
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