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Simplifying 3(7 + -1x) + -39 = 21x + -6(3 + 4x) (7 * 3 + -1x * 3) + -39 = 21x + -6(3 + 4x) (21 + -3x) + -39 = 21x + -6(3 + 4x) Reorder the terms: 21 + -39 + -3x = 21x + -6(3 + 4x) Combine like terms: 21 + -39 = -18 -18 + -3x = 21x + -6(3 + 4x) -18 + -3x = 21x + (3 * -6 + 4x * -6) -18 + -3x = 21x + (-18 + -24x) Reorder the terms: -18 + -3x = -18 + 21x + -24x Combine like terms: 21x + -24x = -3x -18 + -3x = -18 + -3x Add '18' to each side of the equation. -18 + 18 + -3x = -18 + 18 + -3x Combine like terms: -18 + 18 = 0 0 + -3x = -18 + 18 + -3x -3x = -18 + 18 + -3x Combine like terms: -18 + 18 = 0 -3x = 0 + -3x -3x = -3x Add '3x' to each side of the equation. -3x + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 0 = -3x + 3x Combine like terms: -3x + 3x = 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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