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Simplifying 6x + 5x + -64 = 48 + -5x Reorder the terms: -64 + 6x + 5x = 48 + -5x Combine like terms: 6x + 5x = 11x -64 + 11x = 48 + -5x Solving -64 + 11x = 48 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -64 + 11x + 5x = 48 + -5x + 5x Combine like terms: 11x + 5x = 16x -64 + 16x = 48 + -5x + 5x Combine like terms: -5x + 5x = 0 -64 + 16x = 48 + 0 -64 + 16x = 48 Add '64' to each side of the equation. -64 + 64 + 16x = 48 + 64 Combine like terms: -64 + 64 = 0 0 + 16x = 48 + 64 16x = 48 + 64 Combine like terms: 48 + 64 = 112 16x = 112 Divide each side by '16'. x = 7 Simplifying x = 7
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