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Simplifying -50 = -7(2 + -6x) + 3(x + 3) -50 = (2 * -7 + -6x * -7) + 3(x + 3) -50 = (-14 + 42x) + 3(x + 3) Reorder the terms: -50 = -14 + 42x + 3(3 + x) -50 = -14 + 42x + (3 * 3 + x * 3) -50 = -14 + 42x + (9 + 3x) Reorder the terms: -50 = -14 + 9 + 42x + 3x Combine like terms: -14 + 9 = -5 -50 = -5 + 42x + 3x Combine like terms: 42x + 3x = 45x -50 = -5 + 45x Solving -50 = -5 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -50 + -45x = -5 + 45x + -45x Combine like terms: 45x + -45x = 0 -50 + -45x = -5 + 0 -50 + -45x = -5 Add '50' to each side of the equation. -50 + 50 + -45x = -5 + 50 Combine like terms: -50 + 50 = 0 0 + -45x = -5 + 50 -45x = -5 + 50 Combine like terms: -5 + 50 = 45 -45x = 45 Divide each side by '-45'. x = -1 Simplifying x = -1
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