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Simplifying 5x + -6 = 2(x + 1) + 3x + -8 Reorder the terms: -6 + 5x = 2(x + 1) + 3x + -8 Reorder the terms: -6 + 5x = 2(1 + x) + 3x + -8 -6 + 5x = (1 * 2 + x * 2) + 3x + -8 -6 + 5x = (2 + 2x) + 3x + -8 Reorder the terms: -6 + 5x = 2 + -8 + 2x + 3x Combine like terms: 2 + -8 = -6 -6 + 5x = -6 + 2x + 3x Combine like terms: 2x + 3x = 5x -6 + 5x = -6 + 5x Add '6' to each side of the equation. -6 + 6 + 5x = -6 + 6 + 5x Combine like terms: -6 + 6 = 0 0 + 5x = -6 + 6 + 5x 5x = -6 + 6 + 5x Combine like terms: -6 + 6 = 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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