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Simplifying 6(9 + -1x) + -1(20 + -1x) = 102 + -1x (9 * 6 + -1x * 6) + -1(20 + -1x) = 102 + -1x (54 + -6x) + -1(20 + -1x) = 102 + -1x 54 + -6x + (20 * -1 + -1x * -1) = 102 + -1x 54 + -6x + (-20 + 1x) = 102 + -1x Reorder the terms: 54 + -20 + -6x + 1x = 102 + -1x Combine like terms: 54 + -20 = 34 34 + -6x + 1x = 102 + -1x Combine like terms: -6x + 1x = -5x 34 + -5x = 102 + -1x Solving 34 + -5x = 102 + -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. 34 + -5x + x = 102 + -1x + x Combine like terms: -5x + x = -4x 34 + -4x = 102 + -1x + x Combine like terms: -1x + x = 0 34 + -4x = 102 + 0 34 + -4x = 102 Add '-34' to each side of the equation. 34 + -34 + -4x = 102 + -34 Combine like terms: 34 + -34 = 0 0 + -4x = 102 + -34 -4x = 102 + -34 Combine like terms: 102 + -34 = 68 -4x = 68 Divide each side by '-4'. x = -17 Simplifying x = -17
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