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Simplifying 6(-3x + -12) = -7(-7x + -5) Reorder the terms: 6(-12 + -3x) = -7(-7x + -5) (-12 * 6 + -3x * 6) = -7(-7x + -5) (-72 + -18x) = -7(-7x + -5) Reorder the terms: -72 + -18x = -7(-5 + -7x) -72 + -18x = (-5 * -7 + -7x * -7) -72 + -18x = (35 + 49x) Solving -72 + -18x = 35 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. -72 + -18x + -49x = 35 + 49x + -49x Combine like terms: -18x + -49x = -67x -72 + -67x = 35 + 49x + -49x Combine like terms: 49x + -49x = 0 -72 + -67x = 35 + 0 -72 + -67x = 35 Add '72' to each side of the equation. -72 + 72 + -67x = 35 + 72 Combine like terms: -72 + 72 = 0 0 + -67x = 35 + 72 -67x = 35 + 72 Combine like terms: 35 + 72 = 107 -67x = 107 Divide each side by '-67'. x = -1.597014925 Simplifying x = -1.597014925
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