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Simplifying (2x + -1)(15 + 9x) + -6x(3x + -5) = 87 Reorder the terms: (-1 + 2x)(15 + 9x) + -6x(3x + -5) = 87 Multiply (-1 + 2x) * (15 + 9x) (-1(15 + 9x) + 2x * (15 + 9x)) + -6x(3x + -5) = 87 ((15 * -1 + 9x * -1) + 2x * (15 + 9x)) + -6x(3x + -5) = 87 ((-15 + -9x) + 2x * (15 + 9x)) + -6x(3x + -5) = 87 (-15 + -9x + (15 * 2x + 9x * 2x)) + -6x(3x + -5) = 87 (-15 + -9x + (30x + 18x2)) + -6x(3x + -5) = 87 Combine like terms: -9x + 30x = 21x (-15 + 21x + 18x2) + -6x(3x + -5) = 87 Reorder the terms: -15 + 21x + 18x2 + -6x(-5 + 3x) = 87 -15 + 21x + 18x2 + (-5 * -6x + 3x * -6x) = 87 -15 + 21x + 18x2 + (30x + -18x2) = 87 Reorder the terms: -15 + 21x + 30x + 18x2 + -18x2 = 87 Combine like terms: 21x + 30x = 51x -15 + 51x + 18x2 + -18x2 = 87 Combine like terms: 18x2 + -18x2 = 0 -15 + 51x + 0 = 87 -15 + 51x = 87 Solving -15 + 51x = 87 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 51x = 87 + 15 Combine like terms: -15 + 15 = 0 0 + 51x = 87 + 15 51x = 87 + 15 Combine like terms: 87 + 15 = 102 51x = 102 Divide each side by '51'. x = 2 Simplifying x = 2
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