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Simplifying 35 + -4x + 11x = -3x + 77 + 4x Combine like terms: -4x + 11x = 7x 35 + 7x = -3x + 77 + 4x Reorder the terms: 35 + 7x = 77 + -3x + 4x Combine like terms: -3x + 4x = 1x 35 + 7x = 77 + 1x Solving 35 + 7x = 77 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 35 + 7x + -1x = 77 + 1x + -1x Combine like terms: 7x + -1x = 6x 35 + 6x = 77 + 1x + -1x Combine like terms: 1x + -1x = 0 35 + 6x = 77 + 0 35 + 6x = 77 Add '-35' to each side of the equation. 35 + -35 + 6x = 77 + -35 Combine like terms: 35 + -35 = 0 0 + 6x = 77 + -35 6x = 77 + -35 Combine like terms: 77 + -35 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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