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Simplifying 3x + 43 + -6x = 2 + -7x + 5 Reorder the terms: 43 + 3x + -6x = 2 + -7x + 5 Combine like terms: 3x + -6x = -3x 43 + -3x = 2 + -7x + 5 Reorder the terms: 43 + -3x = 2 + 5 + -7x Combine like terms: 2 + 5 = 7 43 + -3x = 7 + -7x Solving 43 + -3x = 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. 43 + -3x + 7x = 7 + -7x + 7x Combine like terms: -3x + 7x = 4x 43 + 4x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 43 + 4x = 7 + 0 43 + 4x = 7 Add '-43' to each side of the equation. 43 + -43 + 4x = 7 + -43 Combine like terms: 43 + -43 = 0 0 + 4x = 7 + -43 4x = 7 + -43 Combine like terms: 7 + -43 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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