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Simplifying 2(4x + 5) + 2(3x + -1) = 8 Reorder the terms: 2(5 + 4x) + 2(3x + -1) = 8 (5 * 2 + 4x * 2) + 2(3x + -1) = 8 (10 + 8x) + 2(3x + -1) = 8 Reorder the terms: 10 + 8x + 2(-1 + 3x) = 8 10 + 8x + (-1 * 2 + 3x * 2) = 8 10 + 8x + (-2 + 6x) = 8 Reorder the terms: 10 + -2 + 8x + 6x = 8 Combine like terms: 10 + -2 = 8 8 + 8x + 6x = 8 Combine like terms: 8x + 6x = 14x 8 + 14x = 8 Add '-8' to each side of the equation. 8 + -8 + 14x = 8 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = 8 + -8 14x = 8 + -8 Combine like terms: 8 + -8 = 0 14x = 0 Solving 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '14'. x = 0 Simplifying x = 0
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