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Simplifying 2[9 + -3(-2x + -4)] = 6(2x + 7) Reorder the terms: 2[9 + -3(-4 + -2x)] = 6(2x + 7) 2[9 + (-4 * -3 + -2x * -3)] = 6(2x + 7) 2[9 + (12 + 6x)] = 6(2x + 7) Combine like terms: 9 + 12 = 21 2[21 + 6x] = 6(2x + 7) [21 * 2 + 6x * 2] = 6(2x + 7) [42 + 12x] = 6(2x + 7) Reorder the terms: 42 + 12x = 6(7 + 2x) 42 + 12x = (7 * 6 + 2x * 6) 42 + 12x = (42 + 12x) Add '-42' to each side of the equation. 42 + -42 + 12x = 42 + -42 + 12x Combine like terms: 42 + -42 = 0 0 + 12x = 42 + -42 + 12x 12x = 42 + -42 + 12x Combine like terms: 42 + -42 = 0 12x = 0 + 12x 12x = 12x Add '-12x' to each side of the equation. 12x + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 0 = 12x + -12x Combine like terms: 12x + -12x = 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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