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Simplifying 8x + 32 = 3x + x + 64 Reorder the terms: 32 + 8x = 3x + x + 64 Reorder the terms: 32 + 8x = 64 + 3x + x Combine like terms: 3x + x = 4x 32 + 8x = 64 + 4x Solving 32 + 8x = 64 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 32 + 8x + -4x = 64 + 4x + -4x Combine like terms: 8x + -4x = 4x 32 + 4x = 64 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + 4x = 64 + 0 32 + 4x = 64 Add '-32' to each side of the equation. 32 + -32 + 4x = 64 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = 64 + -32 4x = 64 + -32 Combine like terms: 64 + -32 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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