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Simplifying 12 + -1(x + 5) = 6x + -7 Reorder the terms: 12 + -1(5 + x) = 6x + -7 12 + (5 * -1 + x * -1) = 6x + -7 12 + (-5 + -1x) = 6x + -7 Combine like terms: 12 + -5 = 7 7 + -1x = 6x + -7 Reorder the terms: 7 + -1x = -7 + 6x Solving 7 + -1x = -7 + 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 + -1x + -6x = -7 + 6x + -6x Combine like terms: -1x + -6x = -7x 7 + -7x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -7x = -7 + 0 7 + -7x = -7 Add '-7' to each side of the equation. 7 + -7 + -7x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = -7 + -7 -7x = -7 + -7 Combine like terms: -7 + -7 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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