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Simplifying 7x + -7(x + 1) = 5 + -6x Reorder the terms: 7x + -7(1 + x) = 5 + -6x 7x + (1 * -7 + x * -7) = 5 + -6x 7x + (-7 + -7x) = 5 + -6x Reorder the terms: -7 + 7x + -7x = 5 + -6x Combine like terms: 7x + -7x = 0 -7 + 0 = 5 + -6x -7 = 5 + -6x Solving -7 = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7 + 6x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 6x = 5 + 0 -7 + 6x = 5 Add '7' to each side of the equation. -7 + 7 + 6x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 5 + 7 6x = 5 + 7 Combine like terms: 5 + 7 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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