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Simplifying 10x + -6 + 7x = 100 + -3x Reorder the terms: -6 + 10x + 7x = 100 + -3x Combine like terms: 10x + 7x = 17x -6 + 17x = 100 + -3x Solving -6 + 17x = 100 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 17x + 3x = 100 + -3x + 3x Combine like terms: 17x + 3x = 20x -6 + 20x = 100 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 20x = 100 + 0 -6 + 20x = 100 Add '6' to each side of the equation. -6 + 6 + 20x = 100 + 6 Combine like terms: -6 + 6 = 0 0 + 20x = 100 + 6 20x = 100 + 6 Combine like terms: 100 + 6 = 106 20x = 106 Divide each side by '20'. x = 5.3 Simplifying x = 5.3
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