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Simplifying 7 + 7(x + -2) = 5(x + -6) Reorder the terms: 7 + 7(-2 + x) = 5(x + -6) 7 + (-2 * 7 + x * 7) = 5(x + -6) 7 + (-14 + 7x) = 5(x + -6) Combine like terms: 7 + -14 = -7 -7 + 7x = 5(x + -6) Reorder the terms: -7 + 7x = 5(-6 + x) -7 + 7x = (-6 * 5 + x * 5) -7 + 7x = (-30 + 5x) Solving -7 + 7x = -30 + 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. -7 + 7x + -5x = -30 + 5x + -5x Combine like terms: 7x + -5x = 2x -7 + 2x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 2x = -30 + 0 -7 + 2x = -30 Add '7' to each side of the equation. -7 + 7 + 2x = -30 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -30 + 7 2x = -30 + 7 Combine like terms: -30 + 7 = -23 2x = -23 Divide each side by '2'. x = -11.5 Simplifying x = -11.5
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