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Simplifying 8x + -1(4x + 4) = 9x + -39 Reorder the terms: 8x + -1(4 + 4x) = 9x + -39 8x + (4 * -1 + 4x * -1) = 9x + -39 8x + (-4 + -4x) = 9x + -39 Reorder the terms: -4 + 8x + -4x = 9x + -39 Combine like terms: 8x + -4x = 4x -4 + 4x = 9x + -39 Reorder the terms: -4 + 4x = -39 + 9x Solving -4 + 4x = -39 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -4 + 4x + -9x = -39 + 9x + -9x Combine like terms: 4x + -9x = -5x -4 + -5x = -39 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -5x = -39 + 0 -4 + -5x = -39 Add '4' to each side of the equation. -4 + 4 + -5x = -39 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = -39 + 4 -5x = -39 + 4 Combine like terms: -39 + 4 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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