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Simplifying 7 + -1(2 + -3x) = 12 + -1(5 + -4x) 7 + (2 * -1 + -3x * -1) = 12 + -1(5 + -4x) 7 + (-2 + 3x) = 12 + -1(5 + -4x) Combine like terms: 7 + -2 = 5 5 + 3x = 12 + -1(5 + -4x) 5 + 3x = 12 + (5 * -1 + -4x * -1) 5 + 3x = 12 + (-5 + 4x) Combine like terms: 12 + -5 = 7 5 + 3x = 7 + 4x Solving 5 + 3x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 3x + -4x = 7 + 4x + -4x Combine like terms: 3x + -4x = -1x 5 + -1x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -1x = 7 + 0 5 + -1x = 7 Add '-5' to each side of the equation. 5 + -5 + -1x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 7 + -5 -1x = 7 + -5 Combine like terms: 7 + -5 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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