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Simplifying -9(-9 + 6x) + -10(1 + -1x) = -61 (-9 * -9 + 6x * -9) + -10(1 + -1x) = -61 (81 + -54x) + -10(1 + -1x) = -61 81 + -54x + (1 * -10 + -1x * -10) = -61 81 + -54x + (-10 + 10x) = -61 Reorder the terms: 81 + -10 + -54x + 10x = -61 Combine like terms: 81 + -10 = 71 71 + -54x + 10x = -61 Combine like terms: -54x + 10x = -44x 71 + -44x = -61 Solving 71 + -44x = -61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-71' to each side of the equation. 71 + -71 + -44x = -61 + -71 Combine like terms: 71 + -71 = 0 0 + -44x = -61 + -71 -44x = -61 + -71 Combine like terms: -61 + -71 = -132 -44x = -132 Divide each side by '-44'. x = 3 Simplifying x = 3
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