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Simplifying 17x + 6 = 2(7x + 4) + 3x + -2 Reorder the terms: 6 + 17x = 2(7x + 4) + 3x + -2 Reorder the terms: 6 + 17x = 2(4 + 7x) + 3x + -2 6 + 17x = (4 * 2 + 7x * 2) + 3x + -2 6 + 17x = (8 + 14x) + 3x + -2 Reorder the terms: 6 + 17x = 8 + -2 + 14x + 3x Combine like terms: 8 + -2 = 6 6 + 17x = 6 + 14x + 3x Combine like terms: 14x + 3x = 17x 6 + 17x = 6 + 17x Add '-6' to each side of the equation. 6 + -6 + 17x = 6 + -6 + 17x Combine like terms: 6 + -6 = 0 0 + 17x = 6 + -6 + 17x 17x = 6 + -6 + 17x Combine like terms: 6 + -6 = 0 17x = 0 + 17x 17x = 17x Add '-17x' to each side of the equation. 17x + -17x = 17x + -17x Combine like terms: 17x + -17x = 0 0 = 17x + -17x Combine like terms: 17x + -17x = 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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