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Simplifying 19 + -30(x + 2) = -20(1 + -1x) Reorder the terms: 19 + -30(2 + x) = -20(1 + -1x) 19 + (2 * -30 + x * -30) = -20(1 + -1x) 19 + (-60 + -30x) = -20(1 + -1x) Combine like terms: 19 + -60 = -41 -41 + -30x = -20(1 + -1x) -41 + -30x = (1 * -20 + -1x * -20) -41 + -30x = (-20 + 20x) Solving -41 + -30x = -20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -41 + -30x + -20x = -20 + 20x + -20x Combine like terms: -30x + -20x = -50x -41 + -50x = -20 + 20x + -20x Combine like terms: 20x + -20x = 0 -41 + -50x = -20 + 0 -41 + -50x = -20 Add '41' to each side of the equation. -41 + 41 + -50x = -20 + 41 Combine like terms: -41 + 41 = 0 0 + -50x = -20 + 41 -50x = -20 + 41 Combine like terms: -20 + 41 = 21 -50x = 21 Divide each side by '-50'. x = -0.42 Simplifying x = -0.42
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