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Simplifying 7 + -7x = 9x + -10x + -41 Reorder the terms: 7 + -7x = -41 + 9x + -10x Combine like terms: 9x + -10x = -1x 7 + -7x = -41 + -1x Solving 7 + -7x = -41 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + -7x + x = -41 + -1x + x Combine like terms: -7x + x = -6x 7 + -6x = -41 + -1x + x Combine like terms: -1x + x = 0 7 + -6x = -41 + 0 7 + -6x = -41 Add '-7' to each side of the equation. 7 + -7 + -6x = -41 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = -41 + -7 -6x = -41 + -7 Combine like terms: -41 + -7 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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