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Simplifying 8x + 45 = 6x + 65 Reorder the terms: 45 + 8x = 6x + 65 Reorder the terms: 45 + 8x = 65 + 6x Solving 45 + 8x = 65 + 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. 45 + 8x + -6x = 65 + 6x + -6x Combine like terms: 8x + -6x = 2x 45 + 2x = 65 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + 2x = 65 + 0 45 + 2x = 65 Add '-45' to each side of the equation. 45 + -45 + 2x = 65 + -45 Combine like terms: 45 + -45 = 0 0 + 2x = 65 + -45 2x = 65 + -45 Combine like terms: 65 + -45 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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