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Simplifying 4x + -7 + 2x = 5x + -6 + 9 Reorder the terms: -7 + 4x + 2x = 5x + -6 + 9 Combine like terms: 4x + 2x = 6x -7 + 6x = 5x + -6 + 9 Reorder the terms: -7 + 6x = -6 + 9 + 5x Combine like terms: -6 + 9 = 3 -7 + 6x = 3 + 5x Solving -7 + 6x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 6x + -5x = 3 + 5x + -5x Combine like terms: 6x + -5x = 1x -7 + 1x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 1x = 3 + 0 -7 + 1x = 3 Add '7' to each side of the equation. -7 + 7 + 1x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 3 + 7 1x = 3 + 7 Combine like terms: 3 + 7 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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