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Simplifying 6x + 5 = 75 + -4x Reorder the terms: 5 + 6x = 75 + -4x Solving 5 + 6x = 75 + -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. 5 + 6x + 4x = 75 + -4x + 4x Combine like terms: 6x + 4x = 10x 5 + 10x = 75 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 10x = 75 + 0 5 + 10x = 75 Add '-5' to each side of the equation. 5 + -5 + 10x = 75 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = 75 + -5 10x = 75 + -5 Combine like terms: 75 + -5 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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