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Simplifying 7x + 0.75 = 6.75 + 6x Reorder the terms: 0.75 + 7x = 6.75 + 6x Solving 0.75 + 7x = 6.75 + 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. 0.75 + 7x + -6x = 6.75 + 6x + -6x Combine like terms: 7x + -6x = 1x 0.75 + 1x = 6.75 + 6x + -6x Combine like terms: 6x + -6x = 0 0.75 + 1x = 6.75 + 0 0.75 + 1x = 6.75 Add '-0.75' to each side of the equation. 0.75 + -0.75 + 1x = 6.75 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 1x = 6.75 + -0.75 1x = 6.75 + -0.75 Combine like terms: 6.75 + -0.75 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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