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Simplifying 3x + 44 = 7x + 12 Reorder the terms: 44 + 3x = 7x + 12 Reorder the terms: 44 + 3x = 12 + 7x Solving 44 + 3x = 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. 44 + 3x + -7x = 12 + 7x + -7x Combine like terms: 3x + -7x = -4x 44 + -4x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 44 + -4x = 12 + 0 44 + -4x = 12 Add '-44' to each side of the equation. 44 + -44 + -4x = 12 + -44 Combine like terms: 44 + -44 = 0 0 + -4x = 12 + -44 -4x = 12 + -44 Combine like terms: 12 + -44 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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