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Simplifying 1 + -1(3x + 9) = 5x + -4x + 2 Reorder the terms: 1 + -1(9 + 3x) = 5x + -4x + 2 1 + (9 * -1 + 3x * -1) = 5x + -4x + 2 1 + (-9 + -3x) = 5x + -4x + 2 Combine like terms: 1 + -9 = -8 -8 + -3x = 5x + -4x + 2 Reorder the terms: -8 + -3x = 2 + 5x + -4x Combine like terms: 5x + -4x = 1x -8 + -3x = 2 + 1x Solving -8 + -3x = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + -3x + -1x = 2 + 1x + -1x Combine like terms: -3x + -1x = -4x -8 + -4x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -8 + -4x = 2 + 0 -8 + -4x = 2 Add '8' to each side of the equation. -8 + 8 + -4x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 2 + 8 -4x = 2 + 8 Combine like terms: 2 + 8 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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