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