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Simplifying 3(7 + -1x) + -33 = 21x + -4(3 + 6x) (7 * 3 + -1x * 3) + -33 = 21x + -4(3 + 6x) (21 + -3x) + -33 = 21x + -4(3 + 6x) Reorder the terms: 21 + -33 + -3x = 21x + -4(3 + 6x) Combine like terms: 21 + -33 = -12 -12 + -3x = 21x + -4(3 + 6x) -12 + -3x = 21x + (3 * -4 + 6x * -4) -12 + -3x = 21x + (-12 + -24x) Reorder the terms: -12 + -3x = -12 + 21x + -24x Combine like terms: 21x + -24x = -3x -12 + -3x = -12 + -3x Add '12' to each side of the equation. -12 + 12 + -3x = -12 + 12 + -3x Combine like terms: -12 + 12 = 0 0 + -3x = -12 + 12 + -3x -3x = -12 + 12 + -3x Combine like terms: -12 + 12 = 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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