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Simplifying 7x + -4 = 5x + 35 + -1x Reorder the terms: -4 + 7x = 5x + 35 + -1x Reorder the terms: -4 + 7x = 35 + 5x + -1x Combine like terms: 5x + -1x = 4x -4 + 7x = 35 + 4x Solving -4 + 7x = 35 + 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. -4 + 7x + -4x = 35 + 4x + -4x Combine like terms: 7x + -4x = 3x -4 + 3x = 35 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 3x = 35 + 0 -4 + 3x = 35 Add '4' to each side of the equation. -4 + 4 + 3x = 35 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 35 + 4 3x = 35 + 4 Combine like terms: 35 + 4 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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