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Simplifying 4x + 9x + -40 = 100 + -7x Reorder the terms: -40 + 4x + 9x = 100 + -7x Combine like terms: 4x + 9x = 13x -40 + 13x = 100 + -7x Solving -40 + 13x = 100 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -40 + 13x + 7x = 100 + -7x + 7x Combine like terms: 13x + 7x = 20x -40 + 20x = 100 + -7x + 7x Combine like terms: -7x + 7x = 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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