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Simplifying 5x + -6x + 9 = 7x + 41 Reorder the terms: 9 + 5x + -6x = 7x + 41 Combine like terms: 5x + -6x = -1x 9 + -1x = 7x + 41 Reorder the terms: 9 + -1x = 41 + 7x Solving 9 + -1x = 41 + 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. 9 + -1x + -7x = 41 + 7x + -7x Combine like terms: -1x + -7x = -8x 9 + -8x = 41 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -8x = 41 + 0 9 + -8x = 41 Add '-9' to each side of the equation. 9 + -9 + -8x = 41 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 41 + -9 -8x = 41 + -9 Combine like terms: 41 + -9 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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