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Simplifying 4x + -6 + -7x + 9x = 3(x + 2) Reorder the terms: -6 + 4x + -7x + 9x = 3(x + 2) Combine like terms: 4x + -7x = -3x -6 + -3x + 9x = 3(x + 2) Combine like terms: -3x + 9x = 6x -6 + 6x = 3(x + 2) Reorder the terms: -6 + 6x = 3(2 + x) -6 + 6x = (2 * 3 + x * 3) -6 + 6x = (6 + 3x) Solving -6 + 6x = 6 + 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. -6 + 6x + -3x = 6 + 3x + -3x Combine like terms: 6x + -3x = 3x -6 + 3x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 3x = 6 + 0 -6 + 3x = 6 Add '6' to each side of the equation. -6 + 6 + 3x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 6 + 6 3x = 6 + 6 Combine like terms: 6 + 6 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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