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Simplifying 2 + -2x = 2x + 5x + -43 Reorder the terms: 2 + -2x = -43 + 2x + 5x Combine like terms: 2x + 5x = 7x 2 + -2x = -43 + 7x Solving 2 + -2x = -43 + 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. 2 + -2x + -7x = -43 + 7x + -7x Combine like terms: -2x + -7x = -9x 2 + -9x = -43 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -9x = -43 + 0 2 + -9x = -43 Add '-2' to each side of the equation. 2 + -2 + -9x = -43 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = -43 + -2 -9x = -43 + -2 Combine like terms: -43 + -2 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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