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Simplifying 7x + -40 + -27x = 10x + 6 + 36 Reorder the terms: -40 + 7x + -27x = 10x + 6 + 36 Combine like terms: 7x + -27x = -20x -40 + -20x = 10x + 6 + 36 Reorder the terms: -40 + -20x = 6 + 36 + 10x Combine like terms: 6 + 36 = 42 -40 + -20x = 42 + 10x Solving -40 + -20x = 42 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -40 + -20x + -10x = 42 + 10x + -10x Combine like terms: -20x + -10x = -30x -40 + -30x = 42 + 10x + -10x Combine like terms: 10x + -10x = 0 -40 + -30x = 42 + 0 -40 + -30x = 42 Add '40' to each side of the equation. -40 + 40 + -30x = 42 + 40 Combine like terms: -40 + 40 = 0 0 + -30x = 42 + 40 -30x = 42 + 40 Combine like terms: 42 + 40 = 82 -30x = 82 Divide each side by '-30'. x = -2.733333333 Simplifying x = -2.733333333
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