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Simplifying (10x + -4) + -1(5x + -2) = 12 Reorder the terms: (-4 + 10x) + -1(5x + -2) = 12 Remove parenthesis around (-4 + 10x) -4 + 10x + -1(5x + -2) = 12 Reorder the terms: -4 + 10x + -1(-2 + 5x) = 12 -4 + 10x + (-2 * -1 + 5x * -1) = 12 -4 + 10x + (2 + -5x) = 12 Reorder the terms: -4 + 2 + 10x + -5x = 12 Combine like terms: -4 + 2 = -2 -2 + 10x + -5x = 12 Combine like terms: 10x + -5x = 5x -2 + 5x = 12 Solving -2 + 5x = 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 + 5x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 12 + 2 5x = 12 + 2 Combine like terms: 12 + 2 = 14 5x = 14 Divide each side by '5'. x = 2.8 Simplifying x = 2.8
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