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Simplifying 3(X + -7) + -9 = -4(-3X + 8) + -1X Reorder the terms: 3(-7 + X) + -9 = -4(-3X + 8) + -1X (-7 * 3 + X * 3) + -9 = -4(-3X + 8) + -1X (-21 + 3X) + -9 = -4(-3X + 8) + -1X Reorder the terms: -21 + -9 + 3X = -4(-3X + 8) + -1X Combine like terms: -21 + -9 = -30 -30 + 3X = -4(-3X + 8) + -1X Reorder the terms: -30 + 3X = -4(8 + -3X) + -1X -30 + 3X = (8 * -4 + -3X * -4) + -1X -30 + 3X = (-32 + 12X) + -1X Combine like terms: 12X + -1X = 11X -30 + 3X = -32 + 11X Solving -30 + 3X = -32 + 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. -30 + 3X + -11X = -32 + 11X + -11X Combine like terms: 3X + -11X = -8X -30 + -8X = -32 + 11X + -11X Combine like terms: 11X + -11X = 0 -30 + -8X = -32 + 0 -30 + -8X = -32 Add '30' to each side of the equation. -30 + 30 + -8X = -32 + 30 Combine like terms: -30 + 30 = 0 0 + -8X = -32 + 30 -8X = -32 + 30 Combine like terms: -32 + 30 = -2 -8X = -2 Divide each side by '-8'. X = 0.25 Simplifying X = 0.25
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