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Simplifying -7(x + 6) = -2x + 8 Reorder the terms: -7(6 + x) = -2x + 8 (6 * -7 + x * -7) = -2x + 8 (-42 + -7x) = -2x + 8 Reorder the terms: -42 + -7x = 8 + -2x Solving -42 + -7x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -42 + -7x + 2x = 8 + -2x + 2x Combine like terms: -7x + 2x = -5x -42 + -5x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -42 + -5x = 8 + 0 -42 + -5x = 8 Add '42' to each side of the equation. -42 + 42 + -5x = 8 + 42 Combine like terms: -42 + 42 = 0 0 + -5x = 8 + 42 -5x = 8 + 42 Combine like terms: 8 + 42 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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