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Simplifying 11x + 65 = 4x + 100 Reorder the terms: 65 + 11x = 4x + 100 Reorder the terms: 65 + 11x = 100 + 4x Solving 65 + 11x = 100 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 65 + 11x + -4x = 100 + 4x + -4x Combine like terms: 11x + -4x = 7x 65 + 7x = 100 + 4x + -4x Combine like terms: 4x + -4x = 0 65 + 7x = 100 + 0 65 + 7x = 100 Add '-65' to each side of the equation. 65 + -65 + 7x = 100 + -65 Combine like terms: 65 + -65 = 0 0 + 7x = 100 + -65 7x = 100 + -65 Combine like terms: 100 + -65 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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