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Simplifying 7x + 41 = 10x + -61 Reorder the terms: 41 + 7x = 10x + -61 Reorder the terms: 41 + 7x = -61 + 10x Solving 41 + 7x = -61 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 41 + 7x + -10x = -61 + 10x + -10x Combine like terms: 7x + -10x = -3x 41 + -3x = -61 + 10x + -10x Combine like terms: 10x + -10x = 0 41 + -3x = -61 + 0 41 + -3x = -61 Add '-41' to each side of the equation. 41 + -41 + -3x = -61 + -41 Combine like terms: 41 + -41 = 0 0 + -3x = -61 + -41 -3x = -61 + -41 Combine like terms: -61 + -41 = -102 -3x = -102 Divide each side by '-3'. x = 34 Simplifying x = 34
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