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Simplifying 9(2x + -3) = -7(x + -1) Reorder the terms: 9(-3 + 2x) = -7(x + -1) (-3 * 9 + 2x * 9) = -7(x + -1) (-27 + 18x) = -7(x + -1) Reorder the terms: -27 + 18x = -7(-1 + x) -27 + 18x = (-1 * -7 + x * -7) -27 + 18x = (7 + -7x) Solving -27 + 18x = 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. -27 + 18x + 7x = 7 + -7x + 7x Combine like terms: 18x + 7x = 25x -27 + 25x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 -27 + 25x = 7 + 0 -27 + 25x = 7 Add '27' to each side of the equation. -27 + 27 + 25x = 7 + 27 Combine like terms: -27 + 27 = 0 0 + 25x = 7 + 27 25x = 7 + 27 Combine like terms: 7 + 27 = 34 25x = 34 Divide each side by '25'. x = 1.36 Simplifying x = 1.36
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