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