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Simplifying 6(-9x + -7) = -5(12x + -12) Reorder the terms: 6(-7 + -9x) = -5(12x + -12) (-7 * 6 + -9x * 6) = -5(12x + -12) (-42 + -54x) = -5(12x + -12) Reorder the terms: -42 + -54x = -5(-12 + 12x) -42 + -54x = (-12 * -5 + 12x * -5) -42 + -54x = (60 + -60x) Solving -42 + -54x = 60 + -60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60x' to each side of the equation. -42 + -54x + 60x = 60 + -60x + 60x Combine like terms: -54x + 60x = 6x -42 + 6x = 60 + -60x + 60x Combine like terms: -60x + 60x = 0 -42 + 6x = 60 + 0 -42 + 6x = 60 Add '42' to each side of the equation. -42 + 42 + 6x = 60 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = 60 + 42 6x = 60 + 42 Combine like terms: 60 + 42 = 102 6x = 102 Divide each side by '6'. x = 17 Simplifying x = 17
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