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Simplifying 6 + 5x + -2 = 4(3x + 1) + -7x Reorder the terms: 6 + -2 + 5x = 4(3x + 1) + -7x Combine like terms: 6 + -2 = 4 4 + 5x = 4(3x + 1) + -7x Reorder the terms: 4 + 5x = 4(1 + 3x) + -7x 4 + 5x = (1 * 4 + 3x * 4) + -7x 4 + 5x = (4 + 12x) + -7x Combine like terms: 12x + -7x = 5x 4 + 5x = 4 + 5x Add '-4' to each side of the equation. 4 + -4 + 5x = 4 + -4 + 5x Combine like terms: 4 + -4 = 0 0 + 5x = 4 + -4 + 5x 5x = 4 + -4 + 5x Combine like terms: 4 + -4 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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