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Simplifying 51x + -40 = 20x + 270 Reorder the terms: -40 + 51x = 20x + 270 Reorder the terms: -40 + 51x = 270 + 20x Solving -40 + 51x = 270 + 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. -40 + 51x + -20x = 270 + 20x + -20x Combine like terms: 51x + -20x = 31x -40 + 31x = 270 + 20x + -20x Combine like terms: 20x + -20x = 0 -40 + 31x = 270 + 0 -40 + 31x = 270 Add '40' to each side of the equation. -40 + 40 + 31x = 270 + 40 Combine like terms: -40 + 40 = 0 0 + 31x = 270 + 40 31x = 270 + 40 Combine like terms: 270 + 40 = 310 31x = 310 Divide each side by '31'. x = 10 Simplifying x = 10
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