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Simplifying x(2x + -7) + x(2x + -2) = (4x + 6)(x + -3) Reorder the terms: x(-7 + 2x) + x(2x + -2) = (4x + 6)(x + -3) (-7 * x + 2x * x) + x(2x + -2) = (4x + 6)(x + -3) (-7x + 2x2) + x(2x + -2) = (4x + 6)(x + -3) Reorder the terms: -7x + 2x2 + x(-2 + 2x) = (4x + 6)(x + -3) -7x + 2x2 + (-2 * x + 2x * x) = (4x + 6)(x + -3) -7x + 2x2 + (-2x + 2x2) = (4x + 6)(x + -3) Reorder the terms: -7x + -2x + 2x2 + 2x2 = (4x + 6)(x + -3) Combine like terms: -7x + -2x = -9x -9x + 2x2 + 2x2 = (4x + 6)(x + -3) Combine like terms: 2x2 + 2x2 = 4x2 -9x + 4x2 = (4x + 6)(x + -3) Reorder the terms: -9x + 4x2 = (6 + 4x)(x + -3) Reorder the terms: -9x + 4x2 = (6 + 4x)(-3 + x) Multiply (6 + 4x) * (-3 + x) -9x + 4x2 = (6(-3 + x) + 4x * (-3 + x)) -9x + 4x2 = ((-3 * 6 + x * 6) + 4x * (-3 + x)) -9x + 4x2 = ((-18 + 6x) + 4x * (-3 + x)) -9x + 4x2 = (-18 + 6x + (-3 * 4x + x * 4x)) -9x + 4x2 = (-18 + 6x + (-12x + 4x2)) Combine like terms: 6x + -12x = -6x -9x + 4x2 = (-18 + -6x + 4x2) Add '-4x2' to each side of the equation. -9x + 4x2 + -4x2 = -18 + -6x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -9x + 0 = -18 + -6x + 4x2 + -4x2 -9x = -18 + -6x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -9x = -18 + -6x + 0 -9x = -18 + -6x Solving -9x = -18 + -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. -9x + 6x = -18 + -6x + 6x Combine like terms: -9x + 6x = -3x -3x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 -3x = -18 + 0 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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