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Simplifying 5x + 9x + -40 = 100 + -6x Reorder the terms: -40 + 5x + 9x = 100 + -6x Combine like terms: 5x + 9x = 14x -40 + 14x = 100 + -6x Solving -40 + 14x = 100 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -40 + 14x + 6x = 100 + -6x + 6x Combine like terms: 14x + 6x = 20x -40 + 20x = 100 + -6x + 6x Combine like terms: -6x + 6x = 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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