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Simplifying 20(x + 1) + -12x = 9 + -1(4x + -1) Reorder the terms: 20(1 + x) + -12x = 9 + -1(4x + -1) (1 * 20 + x * 20) + -12x = 9 + -1(4x + -1) (20 + 20x) + -12x = 9 + -1(4x + -1) Combine like terms: 20x + -12x = 8x 20 + 8x = 9 + -1(4x + -1) Reorder the terms: 20 + 8x = 9 + -1(-1 + 4x) 20 + 8x = 9 + (-1 * -1 + 4x * -1) 20 + 8x = 9 + (1 + -4x) Combine like terms: 9 + 1 = 10 20 + 8x = 10 + -4x Solving 20 + 8x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 20 + 8x + 4x = 10 + -4x + 4x Combine like terms: 8x + 4x = 12x 20 + 12x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 20 + 12x = 10 + 0 20 + 12x = 10 Add '-20' to each side of the equation. 20 + -20 + 12x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + 12x = 10 + -20 12x = 10 + -20 Combine like terms: 10 + -20 = -10 12x = -10 Divide each side by '12'. x = -0.8333333333 Simplifying x = -0.8333333333
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