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Simplifying x(6x + -1) = (6x + 1)(x + -5) Reorder the terms: x(-1 + 6x) = (6x + 1)(x + -5) (-1 * x + 6x * x) = (6x + 1)(x + -5) (-1x + 6x2) = (6x + 1)(x + -5) Reorder the terms: -1x + 6x2 = (1 + 6x)(x + -5) Reorder the terms: -1x + 6x2 = (1 + 6x)(-5 + x) Multiply (1 + 6x) * (-5 + x) -1x + 6x2 = (1(-5 + x) + 6x * (-5 + x)) -1x + 6x2 = ((-5 * 1 + x * 1) + 6x * (-5 + x)) -1x + 6x2 = ((-5 + 1x) + 6x * (-5 + x)) -1x + 6x2 = (-5 + 1x + (-5 * 6x + x * 6x)) -1x + 6x2 = (-5 + 1x + (-30x + 6x2)) Combine like terms: 1x + -30x = -29x -1x + 6x2 = (-5 + -29x + 6x2) Add '-6x2' to each side of the equation. -1x + 6x2 + -6x2 = -5 + -29x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -1x + 0 = -5 + -29x + 6x2 + -6x2 -1x = -5 + -29x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -1x = -5 + -29x + 0 -1x = -5 + -29x Solving -1x = -5 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. -1x + 29x = -5 + -29x + 29x Combine like terms: -1x + 29x = 28x 28x = -5 + -29x + 29x Combine like terms: -29x + 29x = 0 28x = -5 + 0 28x = -5 Divide each side by '28'. x = -0.1785714286 Simplifying x = -0.1785714286
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