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Simplifying 6 + -9x = 7x + -9x + -43 Reorder the terms: 6 + -9x = -43 + 7x + -9x Combine like terms: 7x + -9x = -2x 6 + -9x = -43 + -2x Solving 6 + -9x = -43 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + -9x + 2x = -43 + -2x + 2x Combine like terms: -9x + 2x = -7x 6 + -7x = -43 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -7x = -43 + 0 6 + -7x = -43 Add '-6' to each side of the equation. 6 + -6 + -7x = -43 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -43 + -6 -7x = -43 + -6 Combine like terms: -43 + -6 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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