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Simplifying 61 = (4x + -6) + (7x + -32) Reorder the terms: 61 = (-6 + 4x) + (7x + -32) Remove parenthesis around (-6 + 4x) 61 = -6 + 4x + (7x + -32) Reorder the terms: 61 = -6 + 4x + (-32 + 7x) Remove parenthesis around (-32 + 7x) 61 = -6 + 4x + -32 + 7x Reorder the terms: 61 = -6 + -32 + 4x + 7x Combine like terms: -6 + -32 = -38 61 = -38 + 4x + 7x Combine like terms: 4x + 7x = 11x 61 = -38 + 11x Solving 61 = -38 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 61 + -11x = -38 + 11x + -11x Combine like terms: 11x + -11x = 0 61 + -11x = -38 + 0 61 + -11x = -38 Add '-61' to each side of the equation. 61 + -61 + -11x = -38 + -61 Combine like terms: 61 + -61 = 0 0 + -11x = -38 + -61 -11x = -38 + -61 Combine like terms: -38 + -61 = -99 -11x = -99 Divide each side by '-11'. x = 9 Simplifying x = 9
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