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Simplifying 2(3x + 5) + 2 = 8x + -2(x + -6) Reorder the terms: 2(5 + 3x) + 2 = 8x + -2(x + -6) (5 * 2 + 3x * 2) + 2 = 8x + -2(x + -6) (10 + 6x) + 2 = 8x + -2(x + -6) Reorder the terms: 10 + 2 + 6x = 8x + -2(x + -6) Combine like terms: 10 + 2 = 12 12 + 6x = 8x + -2(x + -6) Reorder the terms: 12 + 6x = 8x + -2(-6 + x) 12 + 6x = 8x + (-6 * -2 + x * -2) 12 + 6x = 8x + (12 + -2x) Reorder the terms: 12 + 6x = 12 + 8x + -2x Combine like terms: 8x + -2x = 6x 12 + 6x = 12 + 6x Add '-12' to each side of the equation. 12 + -12 + 6x = 12 + -12 + 6x Combine like terms: 12 + -12 = 0 0 + 6x = 12 + -12 + 6x 6x = 12 + -12 + 6x Combine like terms: 12 + -12 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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