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Simplifying 7x + 8x + -40 = 100 + -5x Reorder the terms: -40 + 7x + 8x = 100 + -5x Combine like terms: 7x + 8x = 15x -40 + 15x = 100 + -5x Solving -40 + 15x = 100 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -40 + 15x + 5x = 100 + -5x + 5x Combine like terms: 15x + 5x = 20x -40 + 20x = 100 + -5x + 5x Combine like terms: -5x + 5x = 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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