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Simplifying -1(5 + -4x) + -3x = 8x + 9 (5 * -1 + -4x * -1) + -3x = 8x + 9 (-5 + 4x) + -3x = 8x + 9 Combine like terms: 4x + -3x = 1x -5 + 1x = 8x + 9 Reorder the terms: -5 + 1x = 9 + 8x Solving -5 + 1x = 9 + 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. -5 + 1x + -8x = 9 + 8x + -8x Combine like terms: 1x + -8x = -7x -5 + -7x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -7x = 9 + 0 -5 + -7x = 9 Add '5' to each side of the equation. -5 + 5 + -7x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 9 + 5 -7x = 9 + 5 Combine like terms: 9 + 5 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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