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Simplifying 3(6x + -5) + -1[3(1 + -8x) + 5] = 0 Reorder the terms: 3(-5 + 6x) + -1[3(1 + -8x) + 5] = 0 (-5 * 3 + 6x * 3) + -1[3(1 + -8x) + 5] = 0 (-15 + 18x) + -1[3(1 + -8x) + 5] = 0 -15 + 18x + -1[(1 * 3 + -8x * 3) + 5] = 0 -15 + 18x + -1[(3 + -24x) + 5] = 0 Reorder the terms: -15 + 18x + -1[3 + 5 + -24x] = 0 Combine like terms: 3 + 5 = 8 -15 + 18x + -1[8 + -24x] = 0 -15 + 18x + [8 * -1 + -24x * -1] = 0 -15 + 18x + [-8 + 24x] = 0 Reorder the terms: -15 + -8 + 18x + 24x = 0 Combine like terms: -15 + -8 = -23 -23 + 18x + 24x = 0 Combine like terms: 18x + 24x = 42x -23 + 42x = 0 Solving -23 + 42x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 42x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 42x = 0 + 23 42x = 0 + 23 Combine like terms: 0 + 23 = 23 42x = 23 Divide each side by '42'. x = 0.5476190476 Simplifying x = 0.5476190476
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