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Simplifying 9 + -1(2 + -3x + -4) = 4 + 2x + -4 + -1(5 + -4) Reorder the terms: 9 + -1(2 + -4 + -3x) = 4 + 2x + -4 + -1(5 + -4) Combine like terms: 2 + -4 = -2 9 + -1(-2 + -3x) = 4 + 2x + -4 + -1(5 + -4) 9 + (-2 * -1 + -3x * -1) = 4 + 2x + -4 + -1(5 + -4) 9 + (2 + 3x) = 4 + 2x + -4 + -1(5 + -4) Combine like terms: 9 + 2 = 11 11 + 3x = 4 + 2x + -4 + -1(5 + -4) Combine like terms: 5 + -4 = 1 11 + 3x = 4 + 2x + -4 + -1(1) Multiply -1 * 1 11 + 3x = 4 + 2x + -4 + -1 Reorder the terms: 11 + 3x = 4 + -4 + -1 + 2x Combine like terms: 4 + -4 = 0 11 + 3x = 0 + -1 + 2x 11 + 3x = -1 + 2x Solving 11 + 3x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 11 + 3x + -2x = -1 + 2x + -2x Combine like terms: 3x + -2x = 1x 11 + 1x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + 1x = -1 + 0 11 + 1x = -1 Add '-11' to each side of the equation. 11 + -11 + 1x = -1 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = -1 + -11 1x = -1 + -11 Combine like terms: -1 + -11 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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