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Simplifying 5x + 5x + 32 = 7x + 7x Reorder the terms: 32 + 5x + 5x = 7x + 7x Combine like terms: 5x + 5x = 10x 32 + 10x = 7x + 7x Combine like terms: 7x + 7x = 14x 32 + 10x = 14x Solving 32 + 10x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 32 + 10x + -14x = 14x + -14x Combine like terms: 10x + -14x = -4x 32 + -4x = 14x + -14x Combine like terms: 14x + -14x = 0 32 + -4x = 0 Add '-32' to each side of the equation. 32 + -32 + -4x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = 0 + -32 -4x = 0 + -32 Combine like terms: 0 + -32 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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