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Simplifying 4x + 5 = 12 + -7x Reorder the terms: 5 + 4x = 12 + -7x Solving 5 + 4x = 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. 5 + 4x + 7x = 12 + -7x + 7x Combine like terms: 4x + 7x = 11x 5 + 11x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 11x = 12 + 0 5 + 11x = 12 Add '-5' to each side of the equation. 5 + -5 + 11x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 12 + -5 11x = 12 + -5 Combine like terms: 12 + -5 = 7 11x = 7 Divide each side by '11'. x = 0.6363636364 Simplifying x = 0.6363636364
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