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Simplifying 12 + -1(x + 6) = 7x + -2 Reorder the terms: 12 + -1(6 + x) = 7x + -2 12 + (6 * -1 + x * -1) = 7x + -2 12 + (-6 + -1x) = 7x + -2 Combine like terms: 12 + -6 = 6 6 + -1x = 7x + -2 Reorder the terms: 6 + -1x = -2 + 7x Solving 6 + -1x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + -1x + -7x = -2 + 7x + -7x Combine like terms: -1x + -7x = -8x 6 + -8x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -8x = -2 + 0 6 + -8x = -2 Add '-6' to each side of the equation. 6 + -6 + -8x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = -2 + -6 -8x = -2 + -6 Combine like terms: -2 + -6 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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