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Simplifying 6x + 3(x + -2) = 4x + 14 Reorder the terms: 6x + 3(-2 + x) = 4x + 14 6x + (-2 * 3 + x * 3) = 4x + 14 6x + (-6 + 3x) = 4x + 14 Reorder the terms: -6 + 6x + 3x = 4x + 14 Combine like terms: 6x + 3x = 9x -6 + 9x = 4x + 14 Reorder the terms: -6 + 9x = 14 + 4x Solving -6 + 9x = 14 + 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 + 9x + -4x = 14 + 4x + -4x Combine like terms: 9x + -4x = 5x -6 + 5x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 5x = 14 + 0 -6 + 5x = 14 Add '6' to each side of the equation. -6 + 6 + 5x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 14 + 6 5x = 14 + 6 Combine like terms: 14 + 6 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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