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Simplifying 6x(2x + y + -5) = 6x(2x + y + -5) Reorder the terms: 6x(-5 + 2x + y) = 6x(2x + y + -5) (-5 * 6x + 2x * 6x + y * 6x) = 6x(2x + y + -5) Reorder the terms: (-30x + 6xy + 12x2) = 6x(2x + y + -5) (-30x + 6xy + 12x2) = 6x(2x + y + -5) Reorder the terms: -30x + 6xy + 12x2 = 6x(-5 + 2x + y) -30x + 6xy + 12x2 = (-5 * 6x + 2x * 6x + y * 6x) Reorder the terms: -30x + 6xy + 12x2 = (-30x + 6xy + 12x2) -30x + 6xy + 12x2 = (-30x + 6xy + 12x2) Add '30x' to each side of the equation. -30x + 6xy + 30x + 12x2 = -30x + 6xy + 30x + 12x2 Reorder the terms: -30x + 30x + 6xy + 12x2 = -30x + 6xy + 30x + 12x2 Combine like terms: -30x + 30x = 0 0 + 6xy + 12x2 = -30x + 6xy + 30x + 12x2 6xy + 12x2 = -30x + 6xy + 30x + 12x2 Reorder the terms: 6xy + 12x2 = -30x + 30x + 6xy + 12x2 Combine like terms: -30x + 30x = 0 6xy + 12x2 = 0 + 6xy + 12x2 6xy + 12x2 = 6xy + 12x2 Add '-6xy' to each side of the equation. 6xy + -6xy + 12x2 = 6xy + -6xy + 12x2 Combine like terms: 6xy + -6xy = 0 0 + 12x2 = 6xy + -6xy + 12x2 12x2 = 6xy + -6xy + 12x2 Combine like terms: 6xy + -6xy = 0 12x2 = 0 + 12x2 12x2 = 12x2 Add '-12x2' to each side of the equation. 12x2 + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 0 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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