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