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Simplifying 6(9 + -1x) + -1(10 + -1x) = 92 + -1x (9 * 6 + -1x * 6) + -1(10 + -1x) = 92 + -1x (54 + -6x) + -1(10 + -1x) = 92 + -1x 54 + -6x + (10 * -1 + -1x * -1) = 92 + -1x 54 + -6x + (-10 + 1x) = 92 + -1x Reorder the terms: 54 + -10 + -6x + 1x = 92 + -1x Combine like terms: 54 + -10 = 44 44 + -6x + 1x = 92 + -1x Combine like terms: -6x + 1x = -5x 44 + -5x = 92 + -1x Solving 44 + -5x = 92 + -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. 44 + -5x + x = 92 + -1x + x Combine like terms: -5x + x = -4x 44 + -4x = 92 + -1x + x Combine like terms: -1x + x = 0 44 + -4x = 92 + 0 44 + -4x = 92 Add '-44' to each side of the equation. 44 + -44 + -4x = 92 + -44 Combine like terms: 44 + -44 = 0 0 + -4x = 92 + -44 -4x = 92 + -44 Combine like terms: 92 + -44 = 48 -4x = 48 Divide each side by '-4'. x = -12 Simplifying x = -12
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