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Simplifying 6(3x + -2) + -1(12x + -1) + 4 = 0 Reorder the terms: 6(-2 + 3x) + -1(12x + -1) + 4 = 0 (-2 * 6 + 3x * 6) + -1(12x + -1) + 4 = 0 (-12 + 18x) + -1(12x + -1) + 4 = 0 Reorder the terms: -12 + 18x + -1(-1 + 12x) + 4 = 0 -12 + 18x + (-1 * -1 + 12x * -1) + 4 = 0 -12 + 18x + (1 + -12x) + 4 = 0 Reorder the terms: -12 + 1 + 4 + 18x + -12x = 0 Combine like terms: -12 + 1 = -11 -11 + 4 + 18x + -12x = 0 Combine like terms: -11 + 4 = -7 -7 + 18x + -12x = 0 Combine like terms: 18x + -12x = 6x -7 + 6x = 0 Solving -7 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 0 + 7 6x = 0 + 7 Combine like terms: 0 + 7 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667
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