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Simplifying 9(2x + -3) = -3(2x + 7) Reorder the terms: 9(-3 + 2x) = -3(2x + 7) (-3 * 9 + 2x * 9) = -3(2x + 7) (-27 + 18x) = -3(2x + 7) Reorder the terms: -27 + 18x = -3(7 + 2x) -27 + 18x = (7 * -3 + 2x * -3) -27 + 18x = (-21 + -6x) Solving -27 + 18x = -21 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -27 + 18x + 6x = -21 + -6x + 6x Combine like terms: 18x + 6x = 24x -27 + 24x = -21 + -6x + 6x Combine like terms: -6x + 6x = 0 -27 + 24x = -21 + 0 -27 + 24x = -21 Add '27' to each side of the equation. -27 + 27 + 24x = -21 + 27 Combine like terms: -27 + 27 = 0 0 + 24x = -21 + 27 24x = -21 + 27 Combine like terms: -21 + 27 = 6 24x = 6 Divide each side by '24'. x = 0.25 Simplifying x = 0.25
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