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Simplifying 12 + -1(6x + 5) = 4 + -1(5x + 2) Reorder the terms: 12 + -1(5 + 6x) = 4 + -1(5x + 2) 12 + (5 * -1 + 6x * -1) = 4 + -1(5x + 2) 12 + (-5 + -6x) = 4 + -1(5x + 2) Combine like terms: 12 + -5 = 7 7 + -6x = 4 + -1(5x + 2) Reorder the terms: 7 + -6x = 4 + -1(2 + 5x) 7 + -6x = 4 + (2 * -1 + 5x * -1) 7 + -6x = 4 + (-2 + -5x) Combine like terms: 4 + -2 = 2 7 + -6x = 2 + -5x Solving 7 + -6x = 2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 7 + -6x + 5x = 2 + -5x + 5x Combine like terms: -6x + 5x = -1x 7 + -1x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + -1x = 2 + 0 7 + -1x = 2 Add '-7' to each side of the equation. 7 + -7 + -1x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 2 + -7 -1x = 2 + -7 Combine like terms: 2 + -7 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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