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Simplifying 7x + 5x + -40 = 100 + -8x Reorder the terms: -40 + 7x + 5x = 100 + -8x Combine like terms: 7x + 5x = 12x -40 + 12x = 100 + -8x Solving -40 + 12x = 100 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -40 + 12x + 8x = 100 + -8x + 8x Combine like terms: 12x + 8x = 20x -40 + 20x = 100 + -8x + 8x Combine like terms: -8x + 8x = 0 -40 + 20x = 100 + 0 -40 + 20x = 100 Add '40' to each side of the equation. -40 + 40 + 20x = 100 + 40 Combine like terms: -40 + 40 = 0 0 + 20x = 100 + 40 20x = 100 + 40 Combine like terms: 100 + 40 = 140 20x = 140 Divide each side by '20'. x = 7 Simplifying x = 7
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