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Simplifying 9(x + -3) + -1(2x + -1) = 19 Reorder the terms: 9(-3 + x) + -1(2x + -1) = 19 (-3 * 9 + x * 9) + -1(2x + -1) = 19 (-27 + 9x) + -1(2x + -1) = 19 Reorder the terms: -27 + 9x + -1(-1 + 2x) = 19 -27 + 9x + (-1 * -1 + 2x * -1) = 19 -27 + 9x + (1 + -2x) = 19 Reorder the terms: -27 + 1 + 9x + -2x = 19 Combine like terms: -27 + 1 = -26 -26 + 9x + -2x = 19 Combine like terms: 9x + -2x = 7x -26 + 7x = 19 Solving -26 + 7x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 7x = 19 + 26 Combine like terms: -26 + 26 = 0 0 + 7x = 19 + 26 7x = 19 + 26 Combine like terms: 19 + 26 = 45 7x = 45 Divide each side by '7'. x = 6.428571429 Simplifying x = 6.428571429
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