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Simplifying 3x + 5 = -4x + 12 Reorder the terms: 5 + 3x = -4x + 12 Reorder the terms: 5 + 3x = 12 + -4x Solving 5 + 3x = 12 + -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. 5 + 3x + 4x = 12 + -4x + 4x Combine like terms: 3x + 4x = 7x 5 + 7x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 7x = 12 + 0 5 + 7x = 12 Add '-5' to each side of the equation. 5 + -5 + 7x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 12 + -5 7x = 12 + -5 Combine like terms: 12 + -5 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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