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Simplifying 7[3 + -1(2 + -1x)] + 5x = 3(4x + 3) + -2 7[3 + (2 * -1 + -1x * -1)] + 5x = 3(4x + 3) + -2 7[3 + (-2 + 1x)] + 5x = 3(4x + 3) + -2 Combine like terms: 3 + -2 = 1 7[1 + 1x] + 5x = 3(4x + 3) + -2 [1 * 7 + 1x * 7] + 5x = 3(4x + 3) + -2 [7 + 7x] + 5x = 3(4x + 3) + -2 Combine like terms: 7x + 5x = 12x 7 + 12x = 3(4x + 3) + -2 Reorder the terms: 7 + 12x = 3(3 + 4x) + -2 7 + 12x = (3 * 3 + 4x * 3) + -2 7 + 12x = (9 + 12x) + -2 Reorder the terms: 7 + 12x = 9 + -2 + 12x Combine like terms: 9 + -2 = 7 7 + 12x = 7 + 12x Add '-7' to each side of the equation. 7 + -7 + 12x = 7 + -7 + 12x Combine like terms: 7 + -7 = 0 0 + 12x = 7 + -7 + 12x 12x = 7 + -7 + 12x Combine like terms: 7 + -7 = 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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