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Simplifying 2x + -14 = -3(x + 8) Reorder the terms: -14 + 2x = -3(x + 8) Reorder the terms: -14 + 2x = -3(8 + x) -14 + 2x = (8 * -3 + x * -3) -14 + 2x = (-24 + -3x) Solving -14 + 2x = -24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -14 + 2x + 3x = -24 + -3x + 3x Combine like terms: 2x + 3x = 5x -14 + 5x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + 5x = -24 + 0 -14 + 5x = -24 Add '14' to each side of the equation. -14 + 14 + 5x = -24 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = -24 + 14 5x = -24 + 14 Combine like terms: -24 + 14 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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