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Simplifying 2(3x + -1) + 2(4x + 5) = 64 Reorder the terms: 2(-1 + 3x) + 2(4x + 5) = 64 (-1 * 2 + 3x * 2) + 2(4x + 5) = 64 (-2 + 6x) + 2(4x + 5) = 64 Reorder the terms: -2 + 6x + 2(5 + 4x) = 64 -2 + 6x + (5 * 2 + 4x * 2) = 64 -2 + 6x + (10 + 8x) = 64 Reorder the terms: -2 + 10 + 6x + 8x = 64 Combine like terms: -2 + 10 = 8 8 + 6x + 8x = 64 Combine like terms: 6x + 8x = 14x 8 + 14x = 64 Solving 8 + 14x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 14x = 64 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = 64 + -8 14x = 64 + -8 Combine like terms: 64 + -8 = 56 14x = 56 Divide each side by '14'. x = 4 Simplifying x = 4
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