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Simplifying 7x + 49 + -4x + -2 = 14x + 14 Reorder the terms: 49 + -2 + 7x + -4x = 14x + 14 Combine like terms: 49 + -2 = 47 47 + 7x + -4x = 14x + 14 Combine like terms: 7x + -4x = 3x 47 + 3x = 14x + 14 Reorder the terms: 47 + 3x = 14 + 14x Solving 47 + 3x = 14 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 47 + 3x + -14x = 14 + 14x + -14x Combine like terms: 3x + -14x = -11x 47 + -11x = 14 + 14x + -14x Combine like terms: 14x + -14x = 0 47 + -11x = 14 + 0 47 + -11x = 14 Add '-47' to each side of the equation. 47 + -47 + -11x = 14 + -47 Combine like terms: 47 + -47 = 0 0 + -11x = 14 + -47 -11x = 14 + -47 Combine like terms: 14 + -47 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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