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Simplifying 7x + -5 = 4x + 7 + -3x Reorder the terms: -5 + 7x = 4x + 7 + -3x Reorder the terms: -5 + 7x = 7 + 4x + -3x Combine like terms: 4x + -3x = 1x -5 + 7x = 7 + 1x Solving -5 + 7x = 7 + 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. -5 + 7x + -1x = 7 + 1x + -1x Combine like terms: 7x + -1x = 6x -5 + 6x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + 6x = 7 + 0 -5 + 6x = 7 Add '5' to each side of the equation. -5 + 5 + 6x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 7 + 5 6x = 7 + 5 Combine like terms: 7 + 5 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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