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Simplifying 8(3x + 2) + -5(2x + -4) = 8 Reorder the terms: 8(2 + 3x) + -5(2x + -4) = 8 (2 * 8 + 3x * 8) + -5(2x + -4) = 8 (16 + 24x) + -5(2x + -4) = 8 Reorder the terms: 16 + 24x + -5(-4 + 2x) = 8 16 + 24x + (-4 * -5 + 2x * -5) = 8 16 + 24x + (20 + -10x) = 8 Reorder the terms: 16 + 20 + 24x + -10x = 8 Combine like terms: 16 + 20 = 36 36 + 24x + -10x = 8 Combine like terms: 24x + -10x = 14x 36 + 14x = 8 Solving 36 + 14x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 14x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 14x = 8 + -36 14x = 8 + -36 Combine like terms: 8 + -36 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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