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Simplifying 3x + -7x + 4 = 5x + -7 + 2x Reorder the terms: 4 + 3x + -7x = 5x + -7 + 2x Combine like terms: 3x + -7x = -4x 4 + -4x = 5x + -7 + 2x Reorder the terms: 4 + -4x = -7 + 5x + 2x Combine like terms: 5x + 2x = 7x 4 + -4x = -7 + 7x Solving 4 + -4x = -7 + 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. 4 + -4x + -7x = -7 + 7x + -7x Combine like terms: -4x + -7x = -11x 4 + -11x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -11x = -7 + 0 4 + -11x = -7 Add '-4' to each side of the equation. 4 + -4 + -11x = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = -7 + -4 -11x = -7 + -4 Combine like terms: -7 + -4 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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