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Simplifying (-1x + 12) + -1(4x + 2) = 0 Reorder the terms: (12 + -1x) + -1(4x + 2) = 0 Remove parenthesis around (12 + -1x) 12 + -1x + -1(4x + 2) = 0 Reorder the terms: 12 + -1x + -1(2 + 4x) = 0 12 + -1x + (2 * -1 + 4x * -1) = 0 12 + -1x + (-2 + -4x) = 0 Reorder the terms: 12 + -2 + -1x + -4x = 0 Combine like terms: 12 + -2 = 10 10 + -1x + -4x = 0 Combine like terms: -1x + -4x = -5x 10 + -5x = 0 Solving 10 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -5x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = 0 + -10 -5x = 0 + -10 Combine like terms: 0 + -10 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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