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Simplifying -7x + 5(-2x + -6) = -42 + -5x Reorder the terms: -7x + 5(-6 + -2x) = -42 + -5x -7x + (-6 * 5 + -2x * 5) = -42 + -5x -7x + (-30 + -10x) = -42 + -5x Reorder the terms: -30 + -7x + -10x = -42 + -5x Combine like terms: -7x + -10x = -17x -30 + -17x = -42 + -5x Solving -30 + -17x = -42 + -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. -30 + -17x + 5x = -42 + -5x + 5x Combine like terms: -17x + 5x = -12x -30 + -12x = -42 + -5x + 5x Combine like terms: -5x + 5x = 0 -30 + -12x = -42 + 0 -30 + -12x = -42 Add '30' to each side of the equation. -30 + 30 + -12x = -42 + 30 Combine like terms: -30 + 30 = 0 0 + -12x = -42 + 30 -12x = -42 + 30 Combine like terms: -42 + 30 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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