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Simplifying 8 + -12x + 5x = 14 + -1(5x + 6) Combine like terms: -12x + 5x = -7x 8 + -7x = 14 + -1(5x + 6) Reorder the terms: 8 + -7x = 14 + -1(6 + 5x) 8 + -7x = 14 + (6 * -1 + 5x * -1) 8 + -7x = 14 + (-6 + -5x) Combine like terms: 14 + -6 = 8 8 + -7x = 8 + -5x Add '-8' to each side of the equation. 8 + -8 + -7x = 8 + -8 + -5x Combine like terms: 8 + -8 = 0 0 + -7x = 8 + -8 + -5x -7x = 8 + -8 + -5x Combine like terms: 8 + -8 = 0 -7x = 0 + -5x -7x = -5x Solving -7x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -7x + 5x = -5x + 5x Combine like terms: -7x + 5x = -2x -2x = -5x + 5x Combine like terms: -5x + 5x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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