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Simplifying 2(x + -3)(x + 5) + 2x2 + 3x = 4x2 + -2(x + 4) Reorder the terms: 2(-3 + x)(x + 5) + 2x2 + 3x = 4x2 + -2(x + 4) Reorder the terms: 2(-3 + x)(5 + x) + 2x2 + 3x = 4x2 + -2(x + 4) Multiply (-3 + x) * (5 + x) 2(-3(5 + x) + x(5 + x)) + 2x2 + 3x = 4x2 + -2(x + 4) 2((5 * -3 + x * -3) + x(5 + x)) + 2x2 + 3x = 4x2 + -2(x + 4) 2((-15 + -3x) + x(5 + x)) + 2x2 + 3x = 4x2 + -2(x + 4) 2(-15 + -3x + (5 * x + x * x)) + 2x2 + 3x = 4x2 + -2(x + 4) 2(-15 + -3x + (5x + x2)) + 2x2 + 3x = 4x2 + -2(x + 4) Combine like terms: -3x + 5x = 2x 2(-15 + 2x + x2) + 2x2 + 3x = 4x2 + -2(x + 4) (-15 * 2 + 2x * 2 + x2 * 2) + 2x2 + 3x = 4x2 + -2(x + 4) (-30 + 4x + 2x2) + 2x2 + 3x = 4x2 + -2(x + 4) Reorder the terms: -30 + 4x + 3x + 2x2 + 2x2 = 4x2 + -2(x + 4) Combine like terms: 4x + 3x = 7x -30 + 7x + 2x2 + 2x2 = 4x2 + -2(x + 4) Combine like terms: 2x2 + 2x2 = 4x2 -30 + 7x + 4x2 = 4x2 + -2(x + 4) Reorder the terms: -30 + 7x + 4x2 = 4x2 + -2(4 + x) -30 + 7x + 4x2 = 4x2 + (4 * -2 + x * -2) -30 + 7x + 4x2 = 4x2 + (-8 + -2x) Reorder the terms: -30 + 7x + 4x2 = -8 + -2x + 4x2 Add '-4x2' to each side of the equation. -30 + 7x + 4x2 + -4x2 = -8 + -2x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -30 + 7x + 0 = -8 + -2x + 4x2 + -4x2 -30 + 7x = -8 + -2x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -30 + 7x = -8 + -2x + 0 -30 + 7x = -8 + -2x Solving -30 + 7x = -8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -30 + 7x + 2x = -8 + -2x + 2x Combine like terms: 7x + 2x = 9x -30 + 9x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 9x = -8 + 0 -30 + 9x = -8 Add '30' to each side of the equation. -30 + 30 + 9x = -8 + 30 Combine like terms: -30 + 30 = 0 0 + 9x = -8 + 30 9x = -8 + 30 Combine like terms: -8 + 30 = 22 9x = 22 Divide each side by '9'. x = 2.444444444 Simplifying x = 2.444444444
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