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Simplifying 7x + -10 + 75 = 11x + 17 Reorder the terms: -10 + 75 + 7x = 11x + 17 Combine like terms: -10 + 75 = 65 65 + 7x = 11x + 17 Reorder the terms: 65 + 7x = 17 + 11x Solving 65 + 7x = 17 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 65 + 7x + -11x = 17 + 11x + -11x Combine like terms: 7x + -11x = -4x 65 + -4x = 17 + 11x + -11x Combine like terms: 11x + -11x = 0 65 + -4x = 17 + 0 65 + -4x = 17 Add '-65' to each side of the equation. 65 + -65 + -4x = 17 + -65 Combine like terms: 65 + -65 = 0 0 + -4x = 17 + -65 -4x = 17 + -65 Combine like terms: 17 + -65 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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