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Simplifying 5x + -65 = 100 + -6x Reorder the terms: -65 + 5x = 100 + -6x Solving -65 + 5x = 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. -65 + 5x + 6x = 100 + -6x + 6x Combine like terms: 5x + 6x = 11x -65 + 11x = 100 + -6x + 6x Combine like terms: -6x + 6x = 0 -65 + 11x = 100 + 0 -65 + 11x = 100 Add '65' to each side of the equation. -65 + 65 + 11x = 100 + 65 Combine like terms: -65 + 65 = 0 0 + 11x = 100 + 65 11x = 100 + 65 Combine like terms: 100 + 65 = 165 11x = 165 Divide each side by '11'. x = 15 Simplifying x = 15
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