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Simplifying x + -6 + -4(x + -1) + 3(5x + 1) = 0 Reorder the terms: x + -6 + -4(-1 + x) + 3(5x + 1) = 0 x + -6 + (-1 * -4 + x * -4) + 3(5x + 1) = 0 x + -6 + (4 + -4x) + 3(5x + 1) = 0 Reorder the terms: x + -6 + 4 + -4x + 3(1 + 5x) = 0 x + -6 + 4 + -4x + (1 * 3 + 5x * 3) = 0 x + -6 + 4 + -4x + (3 + 15x) = 0 Reorder the terms: -6 + 4 + 3 + x + -4x + 15x = 0 Combine like terms: -6 + 4 = -2 -2 + 3 + x + -4x + 15x = 0 Combine like terms: -2 + 3 = 1 1 + x + -4x + 15x = 0 Combine like terms: x + -4x = -3x 1 + -3x + 15x = 0 Combine like terms: -3x + 15x = 12x 1 + 12x = 0 Solving 1 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 12x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = 0 + -1 12x = 0 + -1 Combine like terms: 0 + -1 = -1 12x = -1 Divide each side by '12'. x = -0.08333333333 Simplifying x = -0.08333333333
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