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Simplifying 15x2 + -11 + -5x(3x + 4) = 3(7 + -4x) Reorder the terms: 15x2 + -11 + -5x(4 + 3x) = 3(7 + -4x) 15x2 + -11 + (4 * -5x + 3x * -5x) = 3(7 + -4x) 15x2 + -11 + (-20x + -15x2) = 3(7 + -4x) Reorder the terms: -11 + -20x + 15x2 + -15x2 = 3(7 + -4x) Combine like terms: 15x2 + -15x2 = 0 -11 + -20x + 0 = 3(7 + -4x) -11 + -20x = 3(7 + -4x) -11 + -20x = (7 * 3 + -4x * 3) -11 + -20x = (21 + -12x) Solving -11 + -20x = 21 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -11 + -20x + 12x = 21 + -12x + 12x Combine like terms: -20x + 12x = -8x -11 + -8x = 21 + -12x + 12x Combine like terms: -12x + 12x = 0 -11 + -8x = 21 + 0 -11 + -8x = 21 Add '11' to each side of the equation. -11 + 11 + -8x = 21 + 11 Combine like terms: -11 + 11 = 0 0 + -8x = 21 + 11 -8x = 21 + 11 Combine like terms: 21 + 11 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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