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Simplifying 6x + 32 = 7x + 12 Reorder the terms: 32 + 6x = 7x + 12 Reorder the terms: 32 + 6x = 12 + 7x Solving 32 + 6x = 12 + 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. 32 + 6x + -7x = 12 + 7x + -7x Combine like terms: 6x + -7x = -1x 32 + -1x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 32 + -1x = 12 + 0 32 + -1x = 12 Add '-32' to each side of the equation. 32 + -32 + -1x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = 12 + -32 -1x = 12 + -32 Combine like terms: 12 + -32 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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