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Simplifying -79 = -2(5 + 3x) + -3(-6x + -5) -79 = (5 * -2 + 3x * -2) + -3(-6x + -5) -79 = (-10 + -6x) + -3(-6x + -5) Reorder the terms: -79 = -10 + -6x + -3(-5 + -6x) -79 = -10 + -6x + (-5 * -3 + -6x * -3) -79 = -10 + -6x + (15 + 18x) Reorder the terms: -79 = -10 + 15 + -6x + 18x Combine like terms: -10 + 15 = 5 -79 = 5 + -6x + 18x Combine like terms: -6x + 18x = 12x -79 = 5 + 12x Solving -79 = 5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -79 + -12x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 -79 + -12x = 5 + 0 -79 + -12x = 5 Add '79' to each side of the equation. -79 + 79 + -12x = 5 + 79 Combine like terms: -79 + 79 = 0 0 + -12x = 5 + 79 -12x = 5 + 79 Combine like terms: 5 + 79 = 84 -12x = 84 Divide each side by '-12'. x = -7 Simplifying x = -7
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