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Simplifying (6x + 7) + -1(4 + 5x) = 12 Reorder the terms: (7 + 6x) + -1(4 + 5x) = 12 Remove parenthesis around (7 + 6x) 7 + 6x + -1(4 + 5x) = 12 7 + 6x + (4 * -1 + 5x * -1) = 12 7 + 6x + (-4 + -5x) = 12 Reorder the terms: 7 + -4 + 6x + -5x = 12 Combine like terms: 7 + -4 = 3 3 + 6x + -5x = 12 Combine like terms: 6x + -5x = 1x 3 + 1x = 12 Solving 3 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 12 + -3 1x = 12 + -3 Combine like terms: 12 + -3 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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