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Simplifying 7x + 40 = 11x + 12 Reorder the terms: 40 + 7x = 11x + 12 Reorder the terms: 40 + 7x = 12 + 11x Solving 40 + 7x = 12 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 40 + 7x + -11x = 12 + 11x + -11x Combine like terms: 7x + -11x = -4x 40 + -4x = 12 + 11x + -11x Combine like terms: 11x + -11x = 0 40 + -4x = 12 + 0 40 + -4x = 12 Add '-40' to each side of the equation. 40 + -40 + -4x = 12 + -40 Combine like terms: 40 + -40 = 0 0 + -4x = 12 + -40 -4x = 12 + -40 Combine like terms: 12 + -40 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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