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Simplifying x(6x + -7) = (6x + 6)(x + -2) Reorder the terms: x(-7 + 6x) = (6x + 6)(x + -2) (-7 * x + 6x * x) = (6x + 6)(x + -2) (-7x + 6x2) = (6x + 6)(x + -2) Reorder the terms: -7x + 6x2 = (6 + 6x)(x + -2) Reorder the terms: -7x + 6x2 = (6 + 6x)(-2 + x) Multiply (6 + 6x) * (-2 + x) -7x + 6x2 = (6(-2 + x) + 6x * (-2 + x)) -7x + 6x2 = ((-2 * 6 + x * 6) + 6x * (-2 + x)) -7x + 6x2 = ((-12 + 6x) + 6x * (-2 + x)) -7x + 6x2 = (-12 + 6x + (-2 * 6x + x * 6x)) -7x + 6x2 = (-12 + 6x + (-12x + 6x2)) Combine like terms: 6x + -12x = -6x -7x + 6x2 = (-12 + -6x + 6x2) Add '-6x2' to each side of the equation. -7x + 6x2 + -6x2 = -12 + -6x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -7x + 0 = -12 + -6x + 6x2 + -6x2 -7x = -12 + -6x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -7x = -12 + -6x + 0 -7x = -12 + -6x Solving -7x = -12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7x + 6x = -12 + -6x + 6x Combine like terms: -7x + 6x = -1x -1x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 -1x = -12 + 0 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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