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Simplifying 5x + -7x + -102 = 65x + -6x + 81 Reorder the terms: -102 + 5x + -7x = 65x + -6x + 81 Combine like terms: 5x + -7x = -2x -102 + -2x = 65x + -6x + 81 Reorder the terms: -102 + -2x = 81 + 65x + -6x Combine like terms: 65x + -6x = 59x -102 + -2x = 81 + 59x Solving -102 + -2x = 81 + 59x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-59x' to each side of the equation. -102 + -2x + -59x = 81 + 59x + -59x Combine like terms: -2x + -59x = -61x -102 + -61x = 81 + 59x + -59x Combine like terms: 59x + -59x = 0 -102 + -61x = 81 + 0 -102 + -61x = 81 Add '102' to each side of the equation. -102 + 102 + -61x = 81 + 102 Combine like terms: -102 + 102 = 0 0 + -61x = 81 + 102 -61x = 81 + 102 Combine like terms: 81 + 102 = 183 -61x = 183 Divide each side by '-61'. x = -3 Simplifying x = -3
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