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Simplifying 5(x + -2) + (-9) = 7(1 + -1x) Reorder the terms: 5(-2 + x) + (-9) = 7(1 + -1x) (-2 * 5 + x * 5) + (-9) = 7(1 + -1x) (-10 + 5x) + (-9) = 7(1 + -1x) -10 + 5x + -9 = 7(1 + -1x) Reorder the terms: -10 + -9 + 5x = 7(1 + -1x) Combine like terms: -10 + -9 = -19 -19 + 5x = 7(1 + -1x) -19 + 5x = (1 * 7 + -1x * 7) -19 + 5x = (7 + -7x) Solving -19 + 5x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -19 + 5x + 7x = 7 + -7x + 7x Combine like terms: 5x + 7x = 12x -19 + 12x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 -19 + 12x = 7 + 0 -19 + 12x = 7 Add '19' to each side of the equation. -19 + 19 + 12x = 7 + 19 Combine like terms: -19 + 19 = 0 0 + 12x = 7 + 19 12x = 7 + 19 Combine like terms: 7 + 19 = 26 12x = 26 Divide each side by '12'. x = 2.166666667 Simplifying x = 2.166666667
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