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Simplifying 6(-5x + -12) = -12 + -18(6x + -15) + -11(-14x + -10) Reorder the terms: 6(-12 + -5x) = -12 + -18(6x + -15) + -11(-14x + -10) (-12 * 6 + -5x * 6) = -12 + -18(6x + -15) + -11(-14x + -10) (-72 + -30x) = -12 + -18(6x + -15) + -11(-14x + -10) Reorder the terms: -72 + -30x = -12 + -18(-15 + 6x) + -11(-14x + -10) -72 + -30x = -12 + (-15 * -18 + 6x * -18) + -11(-14x + -10) -72 + -30x = -12 + (270 + -108x) + -11(-14x + -10) Reorder the terms: -72 + -30x = -12 + 270 + -108x + -11(-10 + -14x) -72 + -30x = -12 + 270 + -108x + (-10 * -11 + -14x * -11) -72 + -30x = -12 + 270 + -108x + (110 + 154x) Reorder the terms: -72 + -30x = -12 + 270 + 110 + -108x + 154x Combine like terms: -12 + 270 = 258 -72 + -30x = 258 + 110 + -108x + 154x Combine like terms: 258 + 110 = 368 -72 + -30x = 368 + -108x + 154x Combine like terms: -108x + 154x = 46x -72 + -30x = 368 + 46x Solving -72 + -30x = 368 + 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. -72 + -30x + -46x = 368 + 46x + -46x Combine like terms: -30x + -46x = -76x -72 + -76x = 368 + 46x + -46x Combine like terms: 46x + -46x = 0 -72 + -76x = 368 + 0 -72 + -76x = 368 Add '72' to each side of the equation. -72 + 72 + -76x = 368 + 72 Combine like terms: -72 + 72 = 0 0 + -76x = 368 + 72 -76x = 368 + 72 Combine like terms: 368 + 72 = 440 -76x = 440 Divide each side by '-76'. x = -5.789473684 Simplifying x = -5.789473684
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