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Simplifying 2x + -6(4x + 9) = -21x + 3(6 + -1x) + 2x + -72 Reorder the terms: 2x + -6(9 + 4x) = -21x + 3(6 + -1x) + 2x + -72 2x + (9 * -6 + 4x * -6) = -21x + 3(6 + -1x) + 2x + -72 2x + (-54 + -24x) = -21x + 3(6 + -1x) + 2x + -72 Reorder the terms: -54 + 2x + -24x = -21x + 3(6 + -1x) + 2x + -72 Combine like terms: 2x + -24x = -22x -54 + -22x = -21x + 3(6 + -1x) + 2x + -72 -54 + -22x = -21x + (6 * 3 + -1x * 3) + 2x + -72 -54 + -22x = -21x + (18 + -3x) + 2x + -72 Reorder the terms: -54 + -22x = 18 + -72 + -21x + -3x + 2x Combine like terms: 18 + -72 = -54 -54 + -22x = -54 + -21x + -3x + 2x Combine like terms: -21x + -3x = -24x -54 + -22x = -54 + -24x + 2x Combine like terms: -24x + 2x = -22x -54 + -22x = -54 + -22x Add '54' to each side of the equation. -54 + 54 + -22x = -54 + 54 + -22x Combine like terms: -54 + 54 = 0 0 + -22x = -54 + 54 + -22x -22x = -54 + 54 + -22x Combine like terms: -54 + 54 = 0 -22x = 0 + -22x -22x = -22x Add '22x' to each side of the equation. -22x + 22x = -22x + 22x Combine like terms: -22x + 22x = 0 0 = -22x + 22x Combine like terms: -22x + 22x = 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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