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Simplifying x(3x + -3) + x(4x + -6) = (7x + 6)(x + -2) Reorder the terms: x(-3 + 3x) + x(4x + -6) = (7x + 6)(x + -2) (-3 * x + 3x * x) + x(4x + -6) = (7x + 6)(x + -2) (-3x + 3x2) + x(4x + -6) = (7x + 6)(x + -2) Reorder the terms: -3x + 3x2 + x(-6 + 4x) = (7x + 6)(x + -2) -3x + 3x2 + (-6 * x + 4x * x) = (7x + 6)(x + -2) -3x + 3x2 + (-6x + 4x2) = (7x + 6)(x + -2) Reorder the terms: -3x + -6x + 3x2 + 4x2 = (7x + 6)(x + -2) Combine like terms: -3x + -6x = -9x -9x + 3x2 + 4x2 = (7x + 6)(x + -2) Combine like terms: 3x2 + 4x2 = 7x2 -9x + 7x2 = (7x + 6)(x + -2) Reorder the terms: -9x + 7x2 = (6 + 7x)(x + -2) Reorder the terms: -9x + 7x2 = (6 + 7x)(-2 + x) Multiply (6 + 7x) * (-2 + x) -9x + 7x2 = (6(-2 + x) + 7x * (-2 + x)) -9x + 7x2 = ((-2 * 6 + x * 6) + 7x * (-2 + x)) -9x + 7x2 = ((-12 + 6x) + 7x * (-2 + x)) -9x + 7x2 = (-12 + 6x + (-2 * 7x + x * 7x)) -9x + 7x2 = (-12 + 6x + (-14x + 7x2)) Combine like terms: 6x + -14x = -8x -9x + 7x2 = (-12 + -8x + 7x2) Add '-7x2' to each side of the equation. -9x + 7x2 + -7x2 = -12 + -8x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -9x + 0 = -12 + -8x + 7x2 + -7x2 -9x = -12 + -8x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -9x = -12 + -8x + 0 -9x = -12 + -8x Solving -9x = -12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -9x + 8x = -12 + -8x + 8x Combine like terms: -9x + 8x = -1x -1x = -12 + -8x + 8x Combine like terms: -8x + 8x = 0 -1x = -12 + 0 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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