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Simplifying 14x + -1(5x + 6) + 22 = 5x Reorder the terms: 14x + -1(6 + 5x) + 22 = 5x 14x + (6 * -1 + 5x * -1) + 22 = 5x 14x + (-6 + -5x) + 22 = 5x Reorder the terms: -6 + 22 + 14x + -5x = 5x Combine like terms: -6 + 22 = 16 16 + 14x + -5x = 5x Combine like terms: 14x + -5x = 9x 16 + 9x = 5x Solving 16 + 9x = 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. 16 + 9x + -5x = 5x + -5x Combine like terms: 9x + -5x = 4x 16 + 4x = 5x + -5x Combine like terms: 5x + -5x = 0 16 + 4x = 0 Add '-16' to each side of the equation. 16 + -16 + 4x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 0 + -16 4x = 0 + -16 Combine like terms: 0 + -16 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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