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Simplifying (12x + 1) + 2(x + -4) + -1(x + -1) = 0 Reorder the terms: (1 + 12x) + 2(x + -4) + -1(x + -1) = 0 Remove parenthesis around (1 + 12x) 1 + 12x + 2(x + -4) + -1(x + -1) = 0 Reorder the terms: 1 + 12x + 2(-4 + x) + -1(x + -1) = 0 1 + 12x + (-4 * 2 + x * 2) + -1(x + -1) = 0 1 + 12x + (-8 + 2x) + -1(x + -1) = 0 Reorder the terms: 1 + 12x + -8 + 2x + -1(-1 + x) = 0 1 + 12x + -8 + 2x + (-1 * -1 + x * -1) = 0 1 + 12x + -8 + 2x + (1 + -1x) = 0 Reorder the terms: 1 + -8 + 1 + 12x + 2x + -1x = 0 Combine like terms: 1 + -8 = -7 -7 + 1 + 12x + 2x + -1x = 0 Combine like terms: -7 + 1 = -6 -6 + 12x + 2x + -1x = 0 Combine like terms: 12x + 2x = 14x -6 + 14x + -1x = 0 Combine like terms: 14x + -1x = 13x -6 + 13x = 0 Solving -6 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 13x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = 0 + 6 13x = 0 + 6 Combine like terms: 0 + 6 = 6 13x = 6 Divide each side by '13'. x = 0.4615384615 Simplifying x = 0.4615384615
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