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Simplifying 3(9 + -1x) + -47 = 21x + -4(5 + 6x) (9 * 3 + -1x * 3) + -47 = 21x + -4(5 + 6x) (27 + -3x) + -47 = 21x + -4(5 + 6x) Reorder the terms: 27 + -47 + -3x = 21x + -4(5 + 6x) Combine like terms: 27 + -47 = -20 -20 + -3x = 21x + -4(5 + 6x) -20 + -3x = 21x + (5 * -4 + 6x * -4) -20 + -3x = 21x + (-20 + -24x) Reorder the terms: -20 + -3x = -20 + 21x + -24x Combine like terms: 21x + -24x = -3x -20 + -3x = -20 + -3x Add '20' to each side of the equation. -20 + 20 + -3x = -20 + 20 + -3x Combine like terms: -20 + 20 = 0 0 + -3x = -20 + 20 + -3x -3x = -20 + 20 + -3x Combine like terms: -20 + 20 = 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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