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Simplifying 7(x + -6) = 11x + -2 Reorder the terms: 7(-6 + x) = 11x + -2 (-6 * 7 + x * 7) = 11x + -2 (-42 + 7x) = 11x + -2 Reorder the terms: -42 + 7x = -2 + 11x Solving -42 + 7x = -2 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -42 + 7x + -11x = -2 + 11x + -11x Combine like terms: 7x + -11x = -4x -42 + -4x = -2 + 11x + -11x Combine like terms: 11x + -11x = 0 -42 + -4x = -2 + 0 -42 + -4x = -2 Add '42' to each side of the equation. -42 + 42 + -4x = -2 + 42 Combine like terms: -42 + 42 = 0 0 + -4x = -2 + 42 -4x = -2 + 42 Combine like terms: -2 + 42 = 40 -4x = 40 Divide each side by '-4'. x = -10 Simplifying x = -10
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