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Simplifying x(6x + -4) = (6x + 7)(x + -3) Reorder the terms: x(-4 + 6x) = (6x + 7)(x + -3) (-4 * x + 6x * x) = (6x + 7)(x + -3) (-4x + 6x2) = (6x + 7)(x + -3) Reorder the terms: -4x + 6x2 = (7 + 6x)(x + -3) Reorder the terms: -4x + 6x2 = (7 + 6x)(-3 + x) Multiply (7 + 6x) * (-3 + x) -4x + 6x2 = (7(-3 + x) + 6x * (-3 + x)) -4x + 6x2 = ((-3 * 7 + x * 7) + 6x * (-3 + x)) -4x + 6x2 = ((-21 + 7x) + 6x * (-3 + x)) -4x + 6x2 = (-21 + 7x + (-3 * 6x + x * 6x)) -4x + 6x2 = (-21 + 7x + (-18x + 6x2)) Combine like terms: 7x + -18x = -11x -4x + 6x2 = (-21 + -11x + 6x2) Add '-6x2' to each side of the equation. -4x + 6x2 + -6x2 = -21 + -11x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -4x + 0 = -21 + -11x + 6x2 + -6x2 -4x = -21 + -11x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -4x = -21 + -11x + 0 -4x = -21 + -11x Solving -4x = -21 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -4x + 11x = -21 + -11x + 11x Combine like terms: -4x + 11x = 7x 7x = -21 + -11x + 11x Combine like terms: -11x + 11x = 0 7x = -21 + 0 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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