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Simplifying -5(x + 6) + -42 = 3 + -50 Reorder the terms: -5(6 + x) + -42 = 3 + -50 (6 * -5 + x * -5) + -42 = 3 + -50 (-30 + -5x) + -42 = 3 + -50 Reorder the terms: -30 + -42 + -5x = 3 + -50 Combine like terms: -30 + -42 = -72 -72 + -5x = 3 + -50 Combine like terms: 3 + -50 = -47 -72 + -5x = -47 Solving -72 + -5x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + -5x = -47 + 72 Combine like terms: -72 + 72 = 0 0 + -5x = -47 + 72 -5x = -47 + 72 Combine like terms: -47 + 72 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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