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Simplifying -4x + 79 = 9x + 2 + -2x Reorder the terms: 79 + -4x = 9x + 2 + -2x Reorder the terms: 79 + -4x = 2 + 9x + -2x Combine like terms: 9x + -2x = 7x 79 + -4x = 2 + 7x Solving 79 + -4x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 79 + -4x + -7x = 2 + 7x + -7x Combine like terms: -4x + -7x = -11x 79 + -11x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 79 + -11x = 2 + 0 79 + -11x = 2 Add '-79' to each side of the equation. 79 + -79 + -11x = 2 + -79 Combine like terms: 79 + -79 = 0 0 + -11x = 2 + -79 -11x = 2 + -79 Combine like terms: 2 + -79 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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