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Simplifying (5x + -3) + -1(4x + -5) = 12 Reorder the terms: (-3 + 5x) + -1(4x + -5) = 12 Remove parenthesis around (-3 + 5x) -3 + 5x + -1(4x + -5) = 12 Reorder the terms: -3 + 5x + -1(-5 + 4x) = 12 -3 + 5x + (-5 * -1 + 4x * -1) = 12 -3 + 5x + (5 + -4x) = 12 Reorder the terms: -3 + 5 + 5x + -4x = 12 Combine like terms: -3 + 5 = 2 2 + 5x + -4x = 12 Combine like terms: 5x + -4x = 1x 2 + 1x = 12 Solving 2 + 1x = 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 + 1x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 12 + -2 1x = 12 + -2 Combine like terms: 12 + -2 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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