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Simplifying -14x + 2(x + -3) + 7x = 3x + -6 Reorder the terms: -14x + 2(-3 + x) + 7x = 3x + -6 -14x + (-3 * 2 + x * 2) + 7x = 3x + -6 -14x + (-6 + 2x) + 7x = 3x + -6 Reorder the terms: -6 + -14x + 2x + 7x = 3x + -6 Combine like terms: -14x + 2x = -12x -6 + -12x + 7x = 3x + -6 Combine like terms: -12x + 7x = -5x -6 + -5x = 3x + -6 Reorder the terms: -6 + -5x = -6 + 3x Add '6' to each side of the equation. -6 + 6 + -5x = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 0 + -5x = -6 + 6 + 3x -5x = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 -5x = 0 + 3x -5x = 3x Solving -5x = 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. -5x + -3x = 3x + -3x Combine like terms: -5x + -3x = -8x -8x = 3x + -3x Combine like terms: 3x + -3x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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