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