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Simplifying 2x(x + -3) = x(2x + 4) + -80 Reorder the terms: 2x(-3 + x) = x(2x + 4) + -80 (-3 * 2x + x * 2x) = x(2x + 4) + -80 (-6x + 2x2) = x(2x + 4) + -80 Reorder the terms: -6x + 2x2 = x(4 + 2x) + -80 -6x + 2x2 = (4 * x + 2x * x) + -80 -6x + 2x2 = (4x + 2x2) + -80 Reorder the terms: -6x + 2x2 = -80 + 4x + 2x2 Add '-2x2' to each side of the equation. -6x + 2x2 + -2x2 = -80 + 4x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6x + 0 = -80 + 4x + 2x2 + -2x2 -6x = -80 + 4x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6x = -80 + 4x + 0 -6x = -80 + 4x Solving -6x = -80 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6x + -4x = -80 + 4x + -4x Combine like terms: -6x + -4x = -10x -10x = -80 + 4x + -4x Combine like terms: 4x + -4x = 0 -10x = -80 + 0 -10x = -80 Divide each side by '-10'. x = 8 Simplifying x = 8
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