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Simplifying (3x + -5) + -1(x + -3) = 12 Reorder the terms: (-5 + 3x) + -1(x + -3) = 12 Remove parenthesis around (-5 + 3x) -5 + 3x + -1(x + -3) = 12 Reorder the terms: -5 + 3x + -1(-3 + x) = 12 -5 + 3x + (-3 * -1 + x * -1) = 12 -5 + 3x + (3 + -1x) = 12 Reorder the terms: -5 + 3 + 3x + -1x = 12 Combine like terms: -5 + 3 = -2 -2 + 3x + -1x = 12 Combine like terms: 3x + -1x = 2x -2 + 2x = 12 Solving -2 + 2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 12 + 2 2x = 12 + 2 Combine like terms: 12 + 2 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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