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Simplifying (10x + 12) + -1(6x + 20) = 0 Reorder the terms: (12 + 10x) + -1(6x + 20) = 0 Remove parenthesis around (12 + 10x) 12 + 10x + -1(6x + 20) = 0 Reorder the terms: 12 + 10x + -1(20 + 6x) = 0 12 + 10x + (20 * -1 + 6x * -1) = 0 12 + 10x + (-20 + -6x) = 0 Reorder the terms: 12 + -20 + 10x + -6x = 0 Combine like terms: 12 + -20 = -8 -8 + 10x + -6x = 0 Combine like terms: 10x + -6x = 4x -8 + 4x = 0 Solving -8 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 0 + 8 4x = 0 + 8 Combine like terms: 0 + 8 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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