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Simplifying 5(4x + -10) = 8x + -14 Reorder the terms: 5(-10 + 4x) = 8x + -14 (-10 * 5 + 4x * 5) = 8x + -14 (-50 + 20x) = 8x + -14 Reorder the terms: -50 + 20x = -14 + 8x Solving -50 + 20x = -14 + 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. -50 + 20x + -8x = -14 + 8x + -8x Combine like terms: 20x + -8x = 12x -50 + 12x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 -50 + 12x = -14 + 0 -50 + 12x = -14 Add '50' to each side of the equation. -50 + 50 + 12x = -14 + 50 Combine like terms: -50 + 50 = 0 0 + 12x = -14 + 50 12x = -14 + 50 Combine like terms: -14 + 50 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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