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Simplifying 9(2x + 3) = 7(2x + -3) + 2x Reorder the terms: 9(3 + 2x) = 7(2x + -3) + 2x (3 * 9 + 2x * 9) = 7(2x + -3) + 2x (27 + 18x) = 7(2x + -3) + 2x Reorder the terms: 27 + 18x = 7(-3 + 2x) + 2x 27 + 18x = (-3 * 7 + 2x * 7) + 2x 27 + 18x = (-21 + 14x) + 2x Combine like terms: 14x + 2x = 16x 27 + 18x = -21 + 16x Solving 27 + 18x = -21 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 27 + 18x + -16x = -21 + 16x + -16x Combine like terms: 18x + -16x = 2x 27 + 2x = -21 + 16x + -16x Combine like terms: 16x + -16x = 0 27 + 2x = -21 + 0 27 + 2x = -21 Add '-27' to each side of the equation. 27 + -27 + 2x = -21 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = -21 + -27 2x = -21 + -27 Combine like terms: -21 + -27 = -48 2x = -48 Divide each side by '2'. x = -24 Simplifying x = -24
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