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Simplifying 6x + -5 = 100 + -9x Reorder the terms: -5 + 6x = 100 + -9x Solving -5 + 6x = 100 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -5 + 6x + 9x = 100 + -9x + 9x Combine like terms: 6x + 9x = 15x -5 + 15x = 100 + -9x + 9x Combine like terms: -9x + 9x = 0 -5 + 15x = 100 + 0 -5 + 15x = 100 Add '5' to each side of the equation. -5 + 5 + 15x = 100 + 5 Combine like terms: -5 + 5 = 0 0 + 15x = 100 + 5 15x = 100 + 5 Combine like terms: 100 + 5 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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