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Simplifying -7x + 12 = 5(x + -6) + -8 Reorder the terms: 12 + -7x = 5(x + -6) + -8 Reorder the terms: 12 + -7x = 5(-6 + x) + -8 12 + -7x = (-6 * 5 + x * 5) + -8 12 + -7x = (-30 + 5x) + -8 Reorder the terms: 12 + -7x = -30 + -8 + 5x Combine like terms: -30 + -8 = -38 12 + -7x = -38 + 5x Solving 12 + -7x = -38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -7x + -5x = -38 + 5x + -5x Combine like terms: -7x + -5x = -12x 12 + -12x = -38 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -12x = -38 + 0 12 + -12x = -38 Add '-12' to each side of the equation. 12 + -12 + -12x = -38 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = -38 + -12 -12x = -38 + -12 Combine like terms: -38 + -12 = -50 -12x = -50 Divide each side by '-12'. x = 4.166666667 Simplifying x = 4.166666667
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