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Simplifying 14 + 5x = 2x + -7(x + 8) Reorder the terms: 14 + 5x = 2x + -7(8 + x) 14 + 5x = 2x + (8 * -7 + x * -7) 14 + 5x = 2x + (-56 + -7x) Reorder the terms: 14 + 5x = -56 + 2x + -7x Combine like terms: 2x + -7x = -5x 14 + 5x = -56 + -5x Solving 14 + 5x = -56 + -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. 14 + 5x + 5x = -56 + -5x + 5x Combine like terms: 5x + 5x = 10x 14 + 10x = -56 + -5x + 5x Combine like terms: -5x + 5x = 0 14 + 10x = -56 + 0 14 + 10x = -56 Add '-14' to each side of the equation. 14 + -14 + 10x = -56 + -14 Combine like terms: 14 + -14 = 0 0 + 10x = -56 + -14 10x = -56 + -14 Combine like terms: -56 + -14 = -70 10x = -70 Divide each side by '10'. x = -7 Simplifying x = -7
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