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Simplifying 6(3x + -5) + 2(7 + x) = 64 Reorder the terms: 6(-5 + 3x) + 2(7 + x) = 64 (-5 * 6 + 3x * 6) + 2(7 + x) = 64 (-30 + 18x) + 2(7 + x) = 64 -30 + 18x + (7 * 2 + x * 2) = 64 -30 + 18x + (14 + 2x) = 64 Reorder the terms: -30 + 14 + 18x + 2x = 64 Combine like terms: -30 + 14 = -16 -16 + 18x + 2x = 64 Combine like terms: 18x + 2x = 20x -16 + 20x = 64 Solving -16 + 20x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 20x = 64 + 16 Combine like terms: -16 + 16 = 0 0 + 20x = 64 + 16 20x = 64 + 16 Combine like terms: 64 + 16 = 80 20x = 80 Divide each side by '20'. x = 4 Simplifying x = 4
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