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Simplifying 7x + -4 + -5x + 2 = 10x + 6 + -7x + -4 Reorder the terms: -4 + 2 + 7x + -5x = 10x + 6 + -7x + -4 Combine like terms: -4 + 2 = -2 -2 + 7x + -5x = 10x + 6 + -7x + -4 Combine like terms: 7x + -5x = 2x -2 + 2x = 10x + 6 + -7x + -4 Reorder the terms: -2 + 2x = 6 + -4 + 10x + -7x Combine like terms: 6 + -4 = 2 -2 + 2x = 2 + 10x + -7x Combine like terms: 10x + -7x = 3x -2 + 2x = 2 + 3x Solving -2 + 2x = 2 + 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. -2 + 2x + -3x = 2 + 3x + -3x Combine like terms: 2x + -3x = -1x -2 + -1x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -1x = 2 + 0 -2 + -1x = 2 Add '2' to each side of the equation. -2 + 2 + -1x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 2 + 2 -1x = 2 + 2 Combine like terms: 2 + 2 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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