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Simplifying 4x + -6 + -3x = 3x + 5 + -5x + 7 Reorder the terms: -6 + 4x + -3x = 3x + 5 + -5x + 7 Combine like terms: 4x + -3x = 1x -6 + 1x = 3x + 5 + -5x + 7 Reorder the terms: -6 + 1x = 5 + 7 + 3x + -5x Combine like terms: 5 + 7 = 12 -6 + 1x = 12 + 3x + -5x Combine like terms: 3x + -5x = -2x -6 + 1x = 12 + -2x Solving -6 + 1x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 1x + 2x = 12 + -2x + 2x Combine like terms: 1x + 2x = 3x -6 + 3x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 3x = 12 + 0 -6 + 3x = 12 Add '6' to each side of the equation. -6 + 6 + 3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 12 + 6 3x = 12 + 6 Combine like terms: 12 + 6 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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