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Simplifying 15 + (2x + 3)(x + -4) = 2x2 + -17 Reorder the terms: 15 + (3 + 2x)(x + -4) = 2x2 + -17 Reorder the terms: 15 + (3 + 2x)(-4 + x) = 2x2 + -17 Multiply (3 + 2x) * (-4 + x) 15 + (3(-4 + x) + 2x * (-4 + x)) = 2x2 + -17 15 + ((-4 * 3 + x * 3) + 2x * (-4 + x)) = 2x2 + -17 15 + ((-12 + 3x) + 2x * (-4 + x)) = 2x2 + -17 15 + (-12 + 3x + (-4 * 2x + x * 2x)) = 2x2 + -17 15 + (-12 + 3x + (-8x + 2x2)) = 2x2 + -17 Combine like terms: 3x + -8x = -5x 15 + (-12 + -5x + 2x2) = 2x2 + -17 Combine like terms: 15 + -12 = 3 3 + -5x + 2x2 = 2x2 + -17 Reorder the terms: 3 + -5x + 2x2 = -17 + 2x2 Add '-2x2' to each side of the equation. 3 + -5x + 2x2 + -2x2 = -17 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3 + -5x + 0 = -17 + 2x2 + -2x2 3 + -5x = -17 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3 + -5x = -17 + 0 3 + -5x = -17 Solving 3 + -5x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = -17 + -3 -5x = -17 + -3 Combine like terms: -17 + -3 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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