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Simplifying 4x + 14 = 13x + -2x + 7 Reorder the terms: 14 + 4x = 13x + -2x + 7 Reorder the terms: 14 + 4x = 7 + 13x + -2x Combine like terms: 13x + -2x = 11x 14 + 4x = 7 + 11x Solving 14 + 4x = 7 + 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. 14 + 4x + -11x = 7 + 11x + -11x Combine like terms: 4x + -11x = -7x 14 + -7x = 7 + 11x + -11x Combine like terms: 11x + -11x = 0 14 + -7x = 7 + 0 14 + -7x = 7 Add '-14' to each side of the equation. 14 + -14 + -7x = 7 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = 7 + -14 -7x = 7 + -14 Combine like terms: 7 + -14 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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