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Simplifying -10x + 30x + 2x2 + 20x2 + -6x3 + -15x3 = 20x + 22x2 + -21x3 Combine like terms: -10x + 30x = 20x 20x + 2x2 + 20x2 + -6x3 + -15x3 = 20x + 22x2 + -21x3 Combine like terms: 2x2 + 20x2 = 22x2 20x + 22x2 + -6x3 + -15x3 = 20x + 22x2 + -21x3 Combine like terms: -6x3 + -15x3 = -21x3 20x + 22x2 + -21x3 = 20x + 22x2 + -21x3 Add '-20x' to each side of the equation. 20x + 22x2 + -20x + -21x3 = 20x + 22x2 + -20x + -21x3 Reorder the terms: 20x + -20x + 22x2 + -21x3 = 20x + 22x2 + -20x + -21x3 Combine like terms: 20x + -20x = 0 0 + 22x2 + -21x3 = 20x + 22x2 + -20x + -21x3 22x2 + -21x3 = 20x + 22x2 + -20x + -21x3 Reorder the terms: 22x2 + -21x3 = 20x + -20x + 22x2 + -21x3 Combine like terms: 20x + -20x = 0 22x2 + -21x3 = 0 + 22x2 + -21x3 22x2 + -21x3 = 22x2 + -21x3 Add '-22x2' to each side of the equation. 22x2 + -22x2 + -21x3 = 22x2 + -22x2 + -21x3 Combine like terms: 22x2 + -22x2 = 0 0 + -21x3 = 22x2 + -22x2 + -21x3 -21x3 = 22x2 + -22x2 + -21x3 Combine like terms: 22x2 + -22x2 = 0 -21x3 = 0 + -21x3 -21x3 = -21x3 Add '21x3' to each side of the equation. -21x3 + 21x3 = -21x3 + 21x3 Combine like terms: -21x3 + 21x3 = 0 0 = -21x3 + 21x3 Combine like terms: -21x3 + 21x3 = 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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