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