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Simplifying 33x + 6 = 4(7x + 1) + 5x + 2 Reorder the terms: 6 + 33x = 4(7x + 1) + 5x + 2 Reorder the terms: 6 + 33x = 4(1 + 7x) + 5x + 2 6 + 33x = (1 * 4 + 7x * 4) + 5x + 2 6 + 33x = (4 + 28x) + 5x + 2 Reorder the terms: 6 + 33x = 4 + 2 + 28x + 5x Combine like terms: 4 + 2 = 6 6 + 33x = 6 + 28x + 5x Combine like terms: 28x + 5x = 33x 6 + 33x = 6 + 33x Add '-6' to each side of the equation. 6 + -6 + 33x = 6 + -6 + 33x Combine like terms: 6 + -6 = 0 0 + 33x = 6 + -6 + 33x 33x = 6 + -6 + 33x Combine like terms: 6 + -6 = 0 33x = 0 + 33x 33x = 33x Add '-33x' to each side of the equation. 33x + -33x = 33x + -33x Combine like terms: 33x + -33x = 0 0 = 33x + -33x Combine like terms: 33x + -33x = 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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