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Simplifying 4(6x + -3) + -1[2(5x + -1) + 1] = 0 Reorder the terms: 4(-3 + 6x) + -1[2(5x + -1) + 1] = 0 (-3 * 4 + 6x * 4) + -1[2(5x + -1) + 1] = 0 (-12 + 24x) + -1[2(5x + -1) + 1] = 0 Reorder the terms: -12 + 24x + -1[2(-1 + 5x) + 1] = 0 -12 + 24x + -1[(-1 * 2 + 5x * 2) + 1] = 0 -12 + 24x + -1[(-2 + 10x) + 1] = 0 Reorder the terms: -12 + 24x + -1[-2 + 1 + 10x] = 0 Combine like terms: -2 + 1 = -1 -12 + 24x + -1[-1 + 10x] = 0 -12 + 24x + [-1 * -1 + 10x * -1] = 0 -12 + 24x + [1 + -10x] = 0 Reorder the terms: -12 + 1 + 24x + -10x = 0 Combine like terms: -12 + 1 = -11 -11 + 24x + -10x = 0 Combine like terms: 24x + -10x = 14x -11 + 14x = 0 Solving -11 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 14x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 14x = 0 + 11 14x = 0 + 11 Combine like terms: 0 + 11 = 11 14x = 11 Divide each side by '14'. x = 0.7857142857 Simplifying x = 0.7857142857
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