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Simplifying 5x + -1(9x + 9) = 8x + -45 Reorder the terms: 5x + -1(9 + 9x) = 8x + -45 5x + (9 * -1 + 9x * -1) = 8x + -45 5x + (-9 + -9x) = 8x + -45 Reorder the terms: -9 + 5x + -9x = 8x + -45 Combine like terms: 5x + -9x = -4x -9 + -4x = 8x + -45 Reorder the terms: -9 + -4x = -45 + 8x Solving -9 + -4x = -45 + 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. -9 + -4x + -8x = -45 + 8x + -8x Combine like terms: -4x + -8x = -12x -9 + -12x = -45 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -12x = -45 + 0 -9 + -12x = -45 Add '9' to each side of the equation. -9 + 9 + -12x = -45 + 9 Combine like terms: -9 + 9 = 0 0 + -12x = -45 + 9 -12x = -45 + 9 Combine like terms: -45 + 9 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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