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Simplifying 14 + 3x = 5 + -1(1 + -8x) 14 + 3x = 5 + (1 * -1 + -8x * -1) 14 + 3x = 5 + (-1 + 8x) Combine like terms: 5 + -1 = 4 14 + 3x = 4 + 8x Solving 14 + 3x = 4 + 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. 14 + 3x + -8x = 4 + 8x + -8x Combine like terms: 3x + -8x = -5x 14 + -5x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -5x = 4 + 0 14 + -5x = 4 Add '-14' to each side of the equation. 14 + -14 + -5x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = 4 + -14 -5x = 4 + -14 Combine like terms: 4 + -14 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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