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Simplifying 3x + 2x + 64 = 32 + -7x + 8 Reorder the terms: 64 + 3x + 2x = 32 + -7x + 8 Combine like terms: 3x + 2x = 5x 64 + 5x = 32 + -7x + 8 Reorder the terms: 64 + 5x = 32 + 8 + -7x Combine like terms: 32 + 8 = 40 64 + 5x = 40 + -7x Solving 64 + 5x = 40 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 64 + 5x + 7x = 40 + -7x + 7x Combine like terms: 5x + 7x = 12x 64 + 12x = 40 + -7x + 7x Combine like terms: -7x + 7x = 0 64 + 12x = 40 + 0 64 + 12x = 40 Add '-64' to each side of the equation. 64 + -64 + 12x = 40 + -64 Combine like terms: 64 + -64 = 0 0 + 12x = 40 + -64 12x = 40 + -64 Combine like terms: 40 + -64 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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