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Simplifying 6x + -7 + 4x + -2 = 4x + 3 + -1x + 2 Reorder the terms: -7 + -2 + 6x + 4x = 4x + 3 + -1x + 2 Combine like terms: -7 + -2 = -9 -9 + 6x + 4x = 4x + 3 + -1x + 2 Combine like terms: 6x + 4x = 10x -9 + 10x = 4x + 3 + -1x + 2 Reorder the terms: -9 + 10x = 3 + 2 + 4x + -1x Combine like terms: 3 + 2 = 5 -9 + 10x = 5 + 4x + -1x Combine like terms: 4x + -1x = 3x -9 + 10x = 5 + 3x Solving -9 + 10x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 10x + -3x = 5 + 3x + -3x Combine like terms: 10x + -3x = 7x -9 + 7x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 7x = 5 + 0 -9 + 7x = 5 Add '9' to each side of the equation. -9 + 9 + 7x = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 5 + 9 7x = 5 + 9 Combine like terms: 5 + 9 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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