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Simplifying 7 + -1(x + 6) * 12 = 5(x + -7) Reorder the terms: 7 + -1(6 + x) * 12 = 5(x + -7) Reorder the terms for easier multiplication: 7 + -1 * 12(6 + x) = 5(x + -7) Multiply -1 * 12 7 + -12(6 + x) = 5(x + -7) 7 + (6 * -12 + x * -12) = 5(x + -7) 7 + (-72 + -12x) = 5(x + -7) Combine like terms: 7 + -72 = -65 -65 + -12x = 5(x + -7) Reorder the terms: -65 + -12x = 5(-7 + x) -65 + -12x = (-7 * 5 + x * 5) -65 + -12x = (-35 + 5x) Solving -65 + -12x = -35 + 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. -65 + -12x + -5x = -35 + 5x + -5x Combine like terms: -12x + -5x = -17x -65 + -17x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -65 + -17x = -35 + 0 -65 + -17x = -35 Add '65' to each side of the equation. -65 + 65 + -17x = -35 + 65 Combine like terms: -65 + 65 = 0 0 + -17x = -35 + 65 -17x = -35 + 65 Combine like terms: -35 + 65 = 30 -17x = 30 Divide each side by '-17'. x = -1.764705882 Simplifying x = -1.764705882
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