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Simplifying 5[3 + -1(2 + -2x)] + 2x = 2(6x + 4) + -3 5[3 + (2 * -1 + -2x * -1)] + 2x = 2(6x + 4) + -3 5[3 + (-2 + 2x)] + 2x = 2(6x + 4) + -3 Combine like terms: 3 + -2 = 1 5[1 + 2x] + 2x = 2(6x + 4) + -3 [1 * 5 + 2x * 5] + 2x = 2(6x + 4) + -3 [5 + 10x] + 2x = 2(6x + 4) + -3 Combine like terms: 10x + 2x = 12x 5 + 12x = 2(6x + 4) + -3 Reorder the terms: 5 + 12x = 2(4 + 6x) + -3 5 + 12x = (4 * 2 + 6x * 2) + -3 5 + 12x = (8 + 12x) + -3 Reorder the terms: 5 + 12x = 8 + -3 + 12x Combine like terms: 8 + -3 = 5 5 + 12x = 5 + 12x Add '-5' to each side of the equation. 5 + -5 + 12x = 5 + -5 + 12x Combine like terms: 5 + -5 = 0 0 + 12x = 5 + -5 + 12x 12x = 5 + -5 + 12x Combine like terms: 5 + -5 = 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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