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Simplifying 3X + 14[-4 + 6(-9X + -7)] = 6(2X + -3) Reorder the terms: 3X + 14[-4 + 6(-7 + -9X)] = 6(2X + -3) 3X + 14[-4 + (-7 * 6 + -9X * 6)] = 6(2X + -3) 3X + 14[-4 + (-42 + -54X)] = 6(2X + -3) Combine like terms: -4 + -42 = -46 3X + 14[-46 + -54X] = 6(2X + -3) 3X + [-46 * 14 + -54X * 14] = 6(2X + -3) 3X + [-644 + -756X] = 6(2X + -3) Reorder the terms: -644 + 3X + -756X = 6(2X + -3) Combine like terms: 3X + -756X = -753X -644 + -753X = 6(2X + -3) Reorder the terms: -644 + -753X = 6(-3 + 2X) -644 + -753X = (-3 * 6 + 2X * 6) -644 + -753X = (-18 + 12X) Solving -644 + -753X = -18 + 12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12X' to each side of the equation. -644 + -753X + -12X = -18 + 12X + -12X Combine like terms: -753X + -12X = -765X -644 + -765X = -18 + 12X + -12X Combine like terms: 12X + -12X = 0 -644 + -765X = -18 + 0 -644 + -765X = -18 Add '644' to each side of the equation. -644 + 644 + -765X = -18 + 644 Combine like terms: -644 + 644 = 0 0 + -765X = -18 + 644 -765X = -18 + 644 Combine like terms: -18 + 644 = 626 -765X = 626 Divide each side by '-765'. X = -0.8183006536 Simplifying X = -0.8183006536
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