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Simplifying 13x + -1(9) = 19 + -1(6) + x Multiply -1 * 9 13x + -9 = 19 + -1(6) + x Reorder the terms: -9 + 13x = 19 + -1(6) + x Multiply -1 * 6 -9 + 13x = 19 + -6 + x Combine like terms: 19 + -6 = 13 -9 + 13x = 13 + x Solving -9 + 13x = 13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9 + 13x + -1x = 13 + x + -1x Combine like terms: 13x + -1x = 12x -9 + 12x = 13 + x + -1x Combine like terms: x + -1x = 0 -9 + 12x = 13 + 0 -9 + 12x = 13 Add '9' to each side of the equation. -9 + 9 + 12x = 13 + 9 Combine like terms: -9 + 9 = 0 0 + 12x = 13 + 9 12x = 13 + 9 Combine like terms: 13 + 9 = 22 12x = 22 Divide each side by '12'. x = 1.833333333 Simplifying x = 1.833333333
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