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Simplifying 2x + 5 + -7x + 2 = 9x + -8 + -3x + 4 Reorder the terms: 5 + 2 + 2x + -7x = 9x + -8 + -3x + 4 Combine like terms: 5 + 2 = 7 7 + 2x + -7x = 9x + -8 + -3x + 4 Combine like terms: 2x + -7x = -5x 7 + -5x = 9x + -8 + -3x + 4 Reorder the terms: 7 + -5x = -8 + 4 + 9x + -3x Combine like terms: -8 + 4 = -4 7 + -5x = -4 + 9x + -3x Combine like terms: 9x + -3x = 6x 7 + -5x = -4 + 6x Solving 7 + -5x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + -5x + -6x = -4 + 6x + -6x Combine like terms: -5x + -6x = -11x 7 + -11x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -11x = -4 + 0 7 + -11x = -4 Add '-7' to each side of the equation. 7 + -7 + -11x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -11x = -4 + -7 -11x = -4 + -7 Combine like terms: -4 + -7 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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