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Simplifying 14 + -2x + -5x = -4(-2x + -5) + -6 Combine like terms: -2x + -5x = -7x 14 + -7x = -4(-2x + -5) + -6 Reorder the terms: 14 + -7x = -4(-5 + -2x) + -6 14 + -7x = (-5 * -4 + -2x * -4) + -6 14 + -7x = (20 + 8x) + -6 Reorder the terms: 14 + -7x = 20 + -6 + 8x Combine like terms: 20 + -6 = 14 14 + -7x = 14 + 8x Add '-14' to each side of the equation. 14 + -14 + -7x = 14 + -14 + 8x Combine like terms: 14 + -14 = 0 0 + -7x = 14 + -14 + 8x -7x = 14 + -14 + 8x Combine like terms: 14 + -14 = 0 -7x = 0 + 8x -7x = 8x Solving -7x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7x + -8x = 8x + -8x Combine like terms: -7x + -8x = -15x -15x = 8x + -8x Combine like terms: 8x + -8x = 0 -15x = 0 Divide each side by '-15'. x = 0 Simplifying x = 0
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