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Simplifying 2(x + 5)(x + -3) = x(2x + 6) Reorder the terms: 2(5 + x)(x + -3) = x(2x + 6) Reorder the terms: 2(5 + x)(-3 + x) = x(2x + 6) Multiply (5 + x) * (-3 + x) 2(5(-3 + x) + x(-3 + x)) = x(2x + 6) 2((-3 * 5 + x * 5) + x(-3 + x)) = x(2x + 6) 2((-15 + 5x) + x(-3 + x)) = x(2x + 6) 2(-15 + 5x + (-3 * x + x * x)) = x(2x + 6) 2(-15 + 5x + (-3x + x2)) = x(2x + 6) Combine like terms: 5x + -3x = 2x 2(-15 + 2x + x2) = x(2x + 6) (-15 * 2 + 2x * 2 + x2 * 2) = x(2x + 6) (-30 + 4x + 2x2) = x(2x + 6) Reorder the terms: -30 + 4x + 2x2 = x(6 + 2x) -30 + 4x + 2x2 = (6 * x + 2x * x) -30 + 4x + 2x2 = (6x + 2x2) Add '-2x2' to each side of the equation. -30 + 4x + 2x2 + -2x2 = 6x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -30 + 4x + 0 = 6x + 2x2 + -2x2 -30 + 4x = 6x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -30 + 4x = 6x + 0 -30 + 4x = 6x Solving -30 + 4x = 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. -30 + 4x + -6x = 6x + -6x Combine like terms: 4x + -6x = -2x -30 + -2x = 6x + -6x Combine like terms: 6x + -6x = 0 -30 + -2x = 0 Add '30' to each side of the equation. -30 + 30 + -2x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -2x = 0 + 30 -2x = 0 + 30 Combine like terms: 0 + 30 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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