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Simplifying 9 + -1(12 + -8x) = 4x + -1(51 + 8x) 9 + (12 * -1 + -8x * -1) = 4x + -1(51 + 8x) 9 + (-12 + 8x) = 4x + -1(51 + 8x) Combine like terms: 9 + -12 = -3 -3 + 8x = 4x + -1(51 + 8x) -3 + 8x = 4x + (51 * -1 + 8x * -1) -3 + 8x = 4x + (-51 + -8x) Reorder the terms: -3 + 8x = -51 + 4x + -8x Combine like terms: 4x + -8x = -4x -3 + 8x = -51 + -4x Solving -3 + 8x = -51 + -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. -3 + 8x + 4x = -51 + -4x + 4x Combine like terms: 8x + 4x = 12x -3 + 12x = -51 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 12x = -51 + 0 -3 + 12x = -51 Add '3' to each side of the equation. -3 + 3 + 12x = -51 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = -51 + 3 12x = -51 + 3 Combine like terms: -51 + 3 = -48 12x = -48 Divide each side by '12'. x = -4 Simplifying x = -4
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