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Simplifying -14x + 2(x + -4) + 7x = 3x + -8 Reorder the terms: -14x + 2(-4 + x) + 7x = 3x + -8 -14x + (-4 * 2 + x * 2) + 7x = 3x + -8 -14x + (-8 + 2x) + 7x = 3x + -8 Reorder the terms: -8 + -14x + 2x + 7x = 3x + -8 Combine like terms: -14x + 2x = -12x -8 + -12x + 7x = 3x + -8 Combine like terms: -12x + 7x = -5x -8 + -5x = 3x + -8 Reorder the terms: -8 + -5x = -8 + 3x Add '8' to each side of the equation. -8 + 8 + -5x = -8 + 8 + 3x Combine like terms: -8 + 8 = 0 0 + -5x = -8 + 8 + 3x -5x = -8 + 8 + 3x Combine like terms: -8 + 8 = 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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