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Simplifying 14 + 4(x + -5) + -6 + -2x = 0 Reorder the terms: 14 + 4(-5 + x) + -6 + -2x = 0 14 + (-5 * 4 + x * 4) + -6 + -2x = 0 14 + (-20 + 4x) + -6 + -2x = 0 Reorder the terms: 14 + -20 + -6 + 4x + -2x = 0 Combine like terms: 14 + -20 = -6 -6 + -6 + 4x + -2x = 0 Combine like terms: -6 + -6 = -12 -12 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x -12 + 2x = 0 Solving -12 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 0 + 12 2x = 0 + 12 Combine like terms: 0 + 12 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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