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Simplifying 3x + -12 = -4x + 37 Reorder the terms: -12 + 3x = -4x + 37 Reorder the terms: -12 + 3x = 37 + -4x Solving -12 + 3x = 37 + -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. -12 + 3x + 4x = 37 + -4x + 4x Combine like terms: 3x + 4x = 7x -12 + 7x = 37 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 7x = 37 + 0 -12 + 7x = 37 Add '12' to each side of the equation. -12 + 12 + 7x = 37 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 37 + 12 7x = 37 + 12 Combine like terms: 37 + 12 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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