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Simplifying 3x + -3(2x + -9) = 4(3x + -9) + 8x Reorder the terms: 3x + -3(-9 + 2x) = 4(3x + -9) + 8x 3x + (-9 * -3 + 2x * -3) = 4(3x + -9) + 8x 3x + (27 + -6x) = 4(3x + -9) + 8x Reorder the terms: 27 + 3x + -6x = 4(3x + -9) + 8x Combine like terms: 3x + -6x = -3x 27 + -3x = 4(3x + -9) + 8x Reorder the terms: 27 + -3x = 4(-9 + 3x) + 8x 27 + -3x = (-9 * 4 + 3x * 4) + 8x 27 + -3x = (-36 + 12x) + 8x Combine like terms: 12x + 8x = 20x 27 + -3x = -36 + 20x Solving 27 + -3x = -36 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 27 + -3x + -20x = -36 + 20x + -20x Combine like terms: -3x + -20x = -23x 27 + -23x = -36 + 20x + -20x Combine like terms: 20x + -20x = 0 27 + -23x = -36 + 0 27 + -23x = -36 Add '-27' to each side of the equation. 27 + -27 + -23x = -36 + -27 Combine like terms: 27 + -27 = 0 0 + -23x = -36 + -27 -23x = -36 + -27 Combine like terms: -36 + -27 = -63 -23x = -63 Divide each side by '-23'. x = 2.739130435 Simplifying x = 2.739130435
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