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Simplifying 2(x + 4) = 5x + 6 + -3x + 2 Reorder the terms: 2(4 + x) = 5x + 6 + -3x + 2 (4 * 2 + x * 2) = 5x + 6 + -3x + 2 (8 + 2x) = 5x + 6 + -3x + 2 Reorder the terms: 8 + 2x = 6 + 2 + 5x + -3x Combine like terms: 6 + 2 = 8 8 + 2x = 8 + 5x + -3x Combine like terms: 5x + -3x = 2x 8 + 2x = 8 + 2x Add '-8' to each side of the equation. 8 + -8 + 2x = 8 + -8 + 2x Combine like terms: 8 + -8 = 0 0 + 2x = 8 + -8 + 2x 2x = 8 + -8 + 2x Combine like terms: 8 + -8 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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