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Simplifying 10x + 3 + -2x = 12x + 5 + -1(4x + 2) Reorder the terms: 3 + 10x + -2x = 12x + 5 + -1(4x + 2) Combine like terms: 10x + -2x = 8x 3 + 8x = 12x + 5 + -1(4x + 2) Reorder the terms: 3 + 8x = 12x + 5 + -1(2 + 4x) 3 + 8x = 12x + 5 + (2 * -1 + 4x * -1) 3 + 8x = 12x + 5 + (-2 + -4x) Reorder the terms: 3 + 8x = 5 + -2 + 12x + -4x Combine like terms: 5 + -2 = 3 3 + 8x = 3 + 12x + -4x Combine like terms: 12x + -4x = 8x 3 + 8x = 3 + 8x Add '-3' to each side of the equation. 3 + -3 + 8x = 3 + -3 + 8x Combine like terms: 3 + -3 = 0 0 + 8x = 3 + -3 + 8x 8x = 3 + -3 + 8x Combine like terms: 3 + -3 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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