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Simplifying 9 + -5(4x + -1) + -1(x + 3) = 3 + -5(x + -2) Reorder the terms: 9 + -5(-1 + 4x) + -1(x + 3) = 3 + -5(x + -2) 9 + (-1 * -5 + 4x * -5) + -1(x + 3) = 3 + -5(x + -2) 9 + (5 + -20x) + -1(x + 3) = 3 + -5(x + -2) Reorder the terms: 9 + 5 + -20x + -1(3 + x) = 3 + -5(x + -2) 9 + 5 + -20x + (3 * -1 + x * -1) = 3 + -5(x + -2) 9 + 5 + -20x + (-3 + -1x) = 3 + -5(x + -2) Reorder the terms: 9 + 5 + -3 + -20x + -1x = 3 + -5(x + -2) Combine like terms: 9 + 5 = 14 14 + -3 + -20x + -1x = 3 + -5(x + -2) Combine like terms: 14 + -3 = 11 11 + -20x + -1x = 3 + -5(x + -2) Combine like terms: -20x + -1x = -21x 11 + -21x = 3 + -5(x + -2) Reorder the terms: 11 + -21x = 3 + -5(-2 + x) 11 + -21x = 3 + (-2 * -5 + x * -5) 11 + -21x = 3 + (10 + -5x) Combine like terms: 3 + 10 = 13 11 + -21x = 13 + -5x Solving 11 + -21x = 13 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 11 + -21x + 5x = 13 + -5x + 5x Combine like terms: -21x + 5x = -16x 11 + -16x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 11 + -16x = 13 + 0 11 + -16x = 13 Add '-11' to each side of the equation. 11 + -11 + -16x = 13 + -11 Combine like terms: 11 + -11 = 0 0 + -16x = 13 + -11 -16x = 13 + -11 Combine like terms: 13 + -11 = 2 -16x = 2 Divide each side by '-16'. x = -0.125 Simplifying x = -0.125
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