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Simplifying -2(-12x + -12) + -7(-9x + -12) = 6(-5x + -6) Reorder the terms: -2(-12 + -12x) + -7(-9x + -12) = 6(-5x + -6) (-12 * -2 + -12x * -2) + -7(-9x + -12) = 6(-5x + -6) (24 + 24x) + -7(-9x + -12) = 6(-5x + -6) Reorder the terms: 24 + 24x + -7(-12 + -9x) = 6(-5x + -6) 24 + 24x + (-12 * -7 + -9x * -7) = 6(-5x + -6) 24 + 24x + (84 + 63x) = 6(-5x + -6) Reorder the terms: 24 + 84 + 24x + 63x = 6(-5x + -6) Combine like terms: 24 + 84 = 108 108 + 24x + 63x = 6(-5x + -6) Combine like terms: 24x + 63x = 87x 108 + 87x = 6(-5x + -6) Reorder the terms: 108 + 87x = 6(-6 + -5x) 108 + 87x = (-6 * 6 + -5x * 6) 108 + 87x = (-36 + -30x) Solving 108 + 87x = -36 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 108 + 87x + 30x = -36 + -30x + 30x Combine like terms: 87x + 30x = 117x 108 + 117x = -36 + -30x + 30x Combine like terms: -30x + 30x = 0 108 + 117x = -36 + 0 108 + 117x = -36 Add '-108' to each side of the equation. 108 + -108 + 117x = -36 + -108 Combine like terms: 108 + -108 = 0 0 + 117x = -36 + -108 117x = -36 + -108 Combine like terms: -36 + -108 = -144 117x = -144 Divide each side by '117'. x = -1.230769231 Simplifying x = -1.230769231
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