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Simplifying 20(x + -1) = -45(5 + -1x) + 16x Reorder the terms: 20(-1 + x) = -45(5 + -1x) + 16x (-1 * 20 + x * 20) = -45(5 + -1x) + 16x (-20 + 20x) = -45(5 + -1x) + 16x -20 + 20x = (5 * -45 + -1x * -45) + 16x -20 + 20x = (-225 + 45x) + 16x Combine like terms: 45x + 16x = 61x -20 + 20x = -225 + 61x Solving -20 + 20x = -225 + 61x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61x' to each side of the equation. -20 + 20x + -61x = -225 + 61x + -61x Combine like terms: 20x + -61x = -41x -20 + -41x = -225 + 61x + -61x Combine like terms: 61x + -61x = 0 -20 + -41x = -225 + 0 -20 + -41x = -225 Add '20' to each side of the equation. -20 + 20 + -41x = -225 + 20 Combine like terms: -20 + 20 = 0 0 + -41x = -225 + 20 -41x = -225 + 20 Combine like terms: -225 + 20 = -205 -41x = -205 Divide each side by '-41'. x = 5 Simplifying x = 5
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