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Simplifying 4x + -3(3x + -9) = 2(3x + -9) + 5x Reorder the terms: 4x + -3(-9 + 3x) = 2(3x + -9) + 5x 4x + (-9 * -3 + 3x * -3) = 2(3x + -9) + 5x 4x + (27 + -9x) = 2(3x + -9) + 5x Reorder the terms: 27 + 4x + -9x = 2(3x + -9) + 5x Combine like terms: 4x + -9x = -5x 27 + -5x = 2(3x + -9) + 5x Reorder the terms: 27 + -5x = 2(-9 + 3x) + 5x 27 + -5x = (-9 * 2 + 3x * 2) + 5x 27 + -5x = (-18 + 6x) + 5x Combine like terms: 6x + 5x = 11x 27 + -5x = -18 + 11x Solving 27 + -5x = -18 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 27 + -5x + -11x = -18 + 11x + -11x Combine like terms: -5x + -11x = -16x 27 + -16x = -18 + 11x + -11x Combine like terms: 11x + -11x = 0 27 + -16x = -18 + 0 27 + -16x = -18 Add '-27' to each side of the equation. 27 + -27 + -16x = -18 + -27 Combine like terms: 27 + -27 = 0 0 + -16x = -18 + -27 -16x = -18 + -27 Combine like terms: -18 + -27 = -45 -16x = -45 Divide each side by '-16'. x = 2.8125 Simplifying x = 2.8125
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