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Simplifying 7(x + -1) = 2(x + 6) Reorder the terms: 7(-1 + x) = 2(x + 6) (-1 * 7 + x * 7) = 2(x + 6) (-7 + 7x) = 2(x + 6) Reorder the terms: -7 + 7x = 2(6 + x) -7 + 7x = (6 * 2 + x * 2) -7 + 7x = (12 + 2x) Solving -7 + 7x = 12 + 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. -7 + 7x + -2x = 12 + 2x + -2x Combine like terms: 7x + -2x = 5x -7 + 5x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 5x = 12 + 0 -7 + 5x = 12 Add '7' to each side of the equation. -7 + 7 + 5x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 12 + 7 5x = 12 + 7 Combine like terms: 12 + 7 = 19 5x = 19 Divide each side by '5'. x = 3.8 Simplifying x = 3.8
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